116413157520 has 240 divisors, whose sum is σ = 430721164224. Its totient is φ = 27941760000.

The previous prime is 116413157489. The next prime is 116413157521. The reversal of 116413157520 is 25751314611.

116413157520 is a `hidden beast` number, since 1 + 1 + 64 + 1 + 3 + 1 + 575 + 20 = 666.

116413157520 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (116413157521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 727155 + ... + 872685.

Almost surely, 2^116413157520 is an apocalyptic number.

116413157520 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 116413157520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215360582112).

116413157520 is an abundant number, since it is smaller than the sum of its proper divisors (314308006704).

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

116413157520 is a wasteful number, since it uses less digits than its factorization.

116413157520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145662 (or 145653 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 116413157520 in words is "one hundred sixteen billion, four hundred thirteen million, one hundred fifty-seven thousand, five hundred twenty".