10638566400 has 792 divisors, whose sum is σ = 44793534816. Its totient is φ = 2202009600.

The previous prime is 10638566387. The next prime is 10638566401. The reversal of 10638566400 is 466583601.

It is a super-2 number, since 2×10638566400² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10638566401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41395072 + ... + 41395328.

Almost surely, 2^10638566400 is an apocalyptic number.

10638566400 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 10638566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22396767408).

10638566400 is an abundant number, since it is smaller than the sum of its proper divisors (34154968416).

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

10638566400 is a wasteful number, since it uses less digits than its factorization.

10638566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 10638566400 in words is "ten billion, six hundred thirty-eight million, five hundred sixty-six thousand, four hundred".