36057032000000 has 630 divisors, whose sum is σ = 99499842342747. Its totient is φ = 13043712000000.

The previous prime is 36057031999991. The next prime is 36057032000009. The reversal of 36057032000000 is 23075063.

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.

It is an interprime number because it is at equal distance from previous prime (36057031999991) and next prime (36057032000009).

It can be written as a sum of positive squares in 11 ways, for example, as 35772456696064 + 284575303936 = 5981008^2 + 533456^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4246000.

It is not an unprimeable number, because it can be changed into a prime (36057032000009) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 186823999904 + ... + 186824000096.

Almost surely, 2^{36057032000000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36057032000000

36057032000000 is an abundant number, since it is smaller than the sum of its proper divisors (63442810342747).

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

36057032000000 is an frugal number, since it uses more digits than its factorization.

36057032000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 26.

Adding to 36057032000000 its reverse (23075063), we get a palindrome (36057055075063).

The spelling of 36057032000000 in words is "thirty-six trillion, fifty-seven billion, thirty-two million", and thus it is an aban number and an uban number.