10116440290656 has 480 divisors, whose sum is σ = 35999186952960. Its totient is φ = 2722440305664.

The previous prime is 10116440290603. The next prime is 10116440290673. The reversal of 10116440290656 is 65609204461101.

10116440290656 is a `hidden beast` number, since 1 + 0 + 116 + 440 + 2 + 90 + 6 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 59554515 + ... + 59724141.

It is an arithmetic number, because the mean of its divisors is an integer number (74998306152).

Almost surely, 2^{10116440290656} is an apocalyptic number.

10116440290656 is a gapful number since it is divisible by the number (16) 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 10116440290656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17999593476480).

10116440290656 is an abundant number, since it is smaller than the sum of its proper divisors (25882746662304).

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

10116440290656 is a wasteful number, since it uses less digits than its factorization.

10116440290656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169848 (or 169831 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 10116440290656 in words is "ten trillion, one hundred sixteen billion, four hundred forty million, two hundred ninety thousand, six hundred fifty-six".