116957264616720 has 400 divisors, whose sum is σ = 445125307156992. Its totient is φ = 28226127697920.

The previous prime is 116957264616671. The next prime is 116957264616757. The reversal of 116957264616720 is 27616462759611.

116957264616720 is a `hidden beast` number, since 1 + 1 + 6 + 9 + 5 + 7 + 2 + 6 + 4 + 616 + 7 + 2 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12216484 + ... + 19574396.

Almost surely, 2^{116957264616720} is an apocalyptic number.

116957264616720 is a gapful number since it is divisible by the number (10) 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 116957264616720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222562653578496).

116957264616720 is an abundant number, since it is smaller than the sum of its proper divisors (328168042540272).

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

116957264616720 is a wasteful number, since it uses less digits than its factorization.

116957264616720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7358172 (or 7358157 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 116957264616720 in words is "one hundred sixteen trillion, nine hundred fifty-seven billion, two hundred sixty-four million, six hundred sixteen thousand, seven hundred twenty".