10116510894336 has 144 divisors (see below), whose sum is σ = 33568422709248. Its totient is φ = 2627665152000.

The previous prime is 10116510894253. The next prime is 10116510894403. The reversal of 10116510894336 is 63349801561101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85476840 + ... + 85595111.

It is an arithmetic number, because the mean of its divisors is an integer number (233114046592).

Almost surely, 2^{10116510894336} is an apocalyptic number.

10116510894336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10116510894336 is an abundant number, since it is smaller than the sum of its proper divisors (23451911814912).

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

10116510894336 is a wasteful number, since it uses less digits than its factorization.

10116510894336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171071988 (or 171071974 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 10116510894336 in words is "ten trillion, one hundred sixteen billion, five hundred ten million, eight hundred ninety-four thousand, three hundred thirty-six".