116129544960 has 576 divisors, whose sum is σ = 441409812480. Its totient is φ = 25648496640.

The previous prime is 116129544959. The next prime is 116129545031. The reversal of 116129544960 is 69445921611.

It is a super-2 number, since 2×116129544960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43379142 + ... + 43381818.

It is an arithmetic number, because the mean of its divisors is an integer number (766336480).

Almost surely, 2^116129544960 is an apocalyptic number.

116129544960 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 116129544960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220704906240).

116129544960 is an abundant number, since it is smaller than the sum of its proper divisors (325280267520).

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

116129544960 is a wasteful number, since it uses less digits than its factorization.

116129544960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2804 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 116129544960 in words is "one hundred sixteen billion, one hundred twenty-nine million, five hundred forty-four thousand, nine hundred sixty".