10513612800 has 612 divisors, whose sum is σ = 40566998784. Its totient is φ = 2595225600.

The previous prime is 10513612771. The next prime is 10513612801. The reversal of 10513612800 is 821631501.

10513612800 is a `hidden beast` number, since 10 + 513 + 61 + 2 + 80 + 0 = 666.

It is a super-2 number, since 2×10513612800² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10513612801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 339148785 + ... + 339148815.

Almost surely, 2^10513612800 is an apocalyptic number.

10513612800 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 10513612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20283499392).

10513612800 is an abundant number, since it is smaller than the sum of its proper divisors (30053385984).

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

10513612800 is an equidigital number, since it uses as much as digits as its factorization.

10513612800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 10513612800 in words is "ten billion, five hundred thirteen million, six hundred twelve thousand, eight hundred".