10610812800 has 864 divisors, whose sum is σ = 45080128080. Its totient is φ = 2368880640.

The previous prime is 10610812799. The next prime is 10610812867. The reversal of 10610812800 is 821801601.

It is a super-2 number, since 2×10610812800² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 103017549 + ... + 103017651.

Almost surely, 2^10610812800 is an apocalyptic number.

10610812800 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 10610812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22540064040).

10610812800 is an abundant number, since it is smaller than the sum of its proper divisors (34469315280).

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

10610812800 is a wasteful number, since it uses less digits than its factorization.

10610812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The spelling of 10610812800 in words is "ten billion, six hundred ten million, eight hundred twelve thousand, eight hundred".