36062010000000 has 960 divisors, whose sum is σ = 134788396640040. Its totient is φ = 9570960000000.

The previous prime is 36062009999999. The next prime is 36062010000001. The reversal of 36062010000000 is 1026063.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

36062010000000 is a `hidden beast` number, since 36 + 0 + 620 + 10 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (36062009999999) and next prime (36062010000001).

It can be written as a sum of positive squares in 4 ways, for example, as 21752373635136 + 14309636364864 = 4663944^2 + 3782808^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (36062010000001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 170909999895 + ... + 170910000105.

Almost surely, 2^{36062010000000} is an apocalyptic number.

36062010000000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36062010000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67394198320020).

36062010000000 is an abundant number, since it is smaller than the sum of its proper divisors (98726386640040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36062010000000 is an frugal number, since it uses more digits than its factorization.

36062010000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 36062010000000 its reverse (1026063), we get a palindrome (36062011026063).

The spelling of 36062010000000 in words is "thirty-six trillion, sixty-two billion, ten million", and thus it is an aban number and an uban number.