10132413088896 has 160 divisors (see below), whose sum is σ = 34461597012480. Its totient is φ = 2894975147520.

The previous prime is 10132413088883. The next prime is 10132413088907. The reversal of 10132413088896 is 69888031423101.

10132413088896 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 241 + 308 + 8 + 8 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69732960 + ... + 69878111.

It is an arithmetic number, because the mean of its divisors is an integer number (215384981328).

Almost surely, 2^{10132413088896} is an apocalyptic number.

10132413088896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10132413088896 is an abundant number, since it is smaller than the sum of its proper divisors (24329183923584).

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

10132413088896 is an equidigital number, since it uses as much as digits as its factorization.

10132413088896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139611104 (or 139611083 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 10132413088896 in words is "ten trillion, one hundred thirty-two billion, four hundred thirteen million, eighty-eight thousand, eight hundred ninety-six".