116050156185600 has 3456 divisors, whose sum is σ = 540937059062400. Its totient is φ = 24470258319360.

The previous prime is 116050156185569. The next prime is 116050156185697. The reversal of 116050156185600 is 6581651050611.

116050156185600 is a `hidden beast` number, since 1 + 1 + 6 + 0 + 5 + 0 + 1 + 561 + 85 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 71327691987 + ... + 71327693613.

It is an arithmetic number, because the mean of its divisors is an integer number (156521139775).

Almost surely, 2^{116050156185600} is an apocalyptic number.

116050156185600 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 116050156185600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270468529531200).

116050156185600 is an abundant number, since it is smaller than the sum of its proper divisors (424886902876800).

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

116050156185600 is an equidigital number, since it uses as much as digits as its factorization.

116050156185600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 45.

The spelling of 116050156185600 in words is "one hundred sixteen trillion, fifty billion, one hundred fifty-six million, one hundred eighty-five thousand, six hundred".