116125502976 has 720 divisors, whose sum is σ = 414801129600. Its totient is φ = 31115943936.

The previous prime is 116125502957. The next prime is 116125502989. The reversal of 116125502976 is 679205521611.

It is a happy number.

116125502976 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 2 + 550 + 2 + 97 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 306399555 + ... + 306399933.

It is an arithmetic number, because the mean of its divisors is an integer number (576112680).

Almost surely, 2^116125502976 is an apocalyptic number.

116125502976 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 116125502976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207400564800).

116125502976 is an abundant number, since it is smaller than the sum of its proper divisors (298675626624).

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

116125502976 is a wasteful number, since it uses less digits than its factorization.

116125502976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 473 counting only the distinct ones).

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

The spelling of 116125502976 in words is "one hundred sixteen billion, one hundred twenty-five million, five hundred two thousand, nine hundred seventy-six".