116526957120 has 672 divisors, whose sum is σ = 488238686208. Its totient is φ = 24929980416.

The previous prime is 116526957119. The next prime is 116526957139. The reversal of 116526957120 is 21759625611.

It is a happy number.

116526957120 is a `hidden beast` number, since 1 + 1 + 6 + 52 + 6 + 9 + 571 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21790287 + ... + 21795633.

It is an arithmetic number, because the mean of its divisors is an integer number (726545664).

Almost surely, 2^116526957120 is an apocalyptic number.

116526957120 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 116526957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244119343104).

116526957120 is an abundant number, since it is smaller than the sum of its proper divisors (371711729088).

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

116526957120 is a wasteful number, since it uses less digits than its factorization.

116526957120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5447 (or 5434 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 116526957120 in words is "one hundred sixteen billion, five hundred twenty-six million, nine hundred fifty-seven thousand, one hundred twenty".