10036224000 has 840 divisors, whose sum is σ = 41129652564. Its totient is φ = 2433024000.

The previous prime is 10036223993. The next prime is 10036224127. The reversal of 10036224000 is 42263001.

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.

10036224000 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 622 + 40 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6784487424 + 3251736576 = 82368^2 + 57024^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 912383995 + ... + 912384005.

Almost surely, 2^10036224000 is an apocalyptic number.

10036224000 is a gapful number since it is divisible by the number (10) 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 10036224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20564826282).

10036224000 is an abundant number, since it is smaller than the sum of its proper divisors (31093428564).

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

10036224000 is an frugal number, since it uses more digits than its factorization.

10036224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10036224000 its reverse (42263001), we get a palindrome (10078487001).

The spelling of 10036224000 in words is "ten billion, thirty-six million, two hundred twenty-four thousand".