10520646800 has 60 divisors (see below), whose sum is σ = 25289445360. Its totient is φ = 4205996160.

The previous prime is 10520646791. The next prime is 10520646817. The reversal of 10520646800 is 864602501.

It is a super-2 number, since 2×10520646800² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 875231 + ... + 887169.

It is an arithmetic number, because the mean of its divisors is an integer number (421490756).

Almost surely, 2^10520646800 is an apocalyptic number.

10520646800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10520646800 is an abundant number, since it is smaller than the sum of its proper divisors (14768798560).

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

10520646800 is a wasteful number, since it uses less digits than its factorization.

10520646800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14160 (or 14149 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 10520646800 in words is "ten billion, five hundred twenty million, six hundred forty-six thousand, eight hundred".