116725017600 has 660 divisors, whose sum is σ = 436004416848. Its totient is φ = 30855168000.

The previous prime is 116725017583. The next prime is 116725017623. The reversal of 116725017600 is 6710527611.

116725017600 is a `hidden beast` number, since 1 + 16 + 7 + 25 + 0 + 17 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 375321445 + ... + 375321755.

Almost surely, 2^116725017600 is an apocalyptic number.

116725017600 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 116725017600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218002208424).

116725017600 is an abundant number, since it is smaller than the sum of its proper divisors (319279399248).

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

116725017600 is a wasteful number, since it uses less digits than its factorization.

116725017600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 116725017600 in words is "one hundred sixteen billion, seven hundred twenty-five million, seventeen thousand, six hundred".