10038733056 has 270 divisors, whose sum is σ = 32910539046. Its totient is φ = 3041280000.

The previous prime is 10038732983. The next prime is 10038733063. The reversal of 10038733056 is 65033783001.

It can be written as a sum of positive squares in only one way, i.e., 6024243456 + 4014489600 = 77616^2 + 63360^2 .

It is a super-2 number, since 2×10038733056² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10038733056.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2507056 + ... + 2511056.

Almost surely, 2^10038733056 is an apocalyptic number.

10038733056 is a gapful number since it is divisible by the number (16) 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 10038733056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16455269523).

10038733056 is an abundant number, since it is smaller than the sum of its proper divisors (22871805990).

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

10038733056 is an equidigital number, since it uses as much as digits as its factorization.

10038733056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4051 (or 4017 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 10038733056 in words is "ten billion, thirty-eight million, seven hundred thirty-three thousand, fifty-six".