10632116374800 has 60 divisors (see below), whose sum is σ = 34058212791120. Its totient is φ = 2835231032960.

The previous prime is 10632116374723. The next prime is 10632116374961. The reversal of 10632116374800 is 847361123601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×10632116374800² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4430047290 + ... + 4430049689.

It is an arithmetic number, because the mean of its divisors is an integer number (567636879852).

Almost surely, 2^{10632116374800} is an apocalyptic number.

10632116374800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10632116374800 is an abundant number, since it is smaller than the sum of its proper divisors (23426096416320).

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

10632116374800 is a wasteful number, since it uses less digits than its factorization.

10632116374800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8860097000 (or 8860096989 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 10632116374800 in words is "ten trillion, six hundred thirty-two billion, one hundred sixteen million, three hundred seventy-four thousand, eight hundred".