117126521600256 has 576 divisors, whose sum is σ = 398431858728960. Its totient is φ = 33246188052480.

The previous prime is 117126521600237. The next prime is 117126521600353. The reversal of 117126521600256 is 652006125621711.

117126521600256 is a `hidden beast` number, since 1 + 1 + 7 + 12 + 6 + 5 + 2 + 1 + 600 + 25 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23327327026 + ... + 23327332046.

It is an arithmetic number, because the mean of its divisors is an integer number (691721976960).

Almost surely, 2^{117126521600256} is an apocalyptic number.

117126521600256 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 117126521600256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199215929364480).

117126521600256 is an abundant number, since it is smaller than the sum of its proper divisors (281305337128704).

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

117126521600256 is a wasteful number, since it uses less digits than its factorization.

117126521600256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8107 (or 8087 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 117126521600256 in words is "one hundred seventeen trillion, one hundred twenty-six billion, five hundred twenty-one million, six hundred thousand, two hundred fifty-six".