116125513920 has 560 divisors, whose sum is σ = 459245622528. Its totient is φ = 27660165120.

The previous prime is 116125513909. The next prime is 116125513963. The reversal of 116125513920 is 29315521611.

It is a happy number.

116125513920 is a `hidden beast` number, since 1 + 1 + 6 + 12 + 551 + 3 + 92 + 0 = 666.

It is a super-2 number, since 2×116125513920² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10440202 + ... + 10451318.

Almost surely, 2^116125513920 is an apocalyptic number.

116125513920 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 116125513920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229622811264).

116125513920 is an abundant number, since it is smaller than the sum of its proper divisors (343120108608).

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

116125513920 is a wasteful number, since it uses less digits than its factorization.

116125513920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11190 (or 11171 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 116125513920 in words is "one hundred sixteen billion, one hundred twenty-five million, five hundred thirteen thousand, nine hundred twenty".