116177556096 has 960 divisors, whose sum is σ = 436492108800. Its totient is φ = 30005821440.

The previous prime is 116177556049. The next prime is 116177556107. The reversal of 116177556096 is 690655771611.

116177556096 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 7 + 75 + 560 + 9 + 6 = 666.

It is a super-2 number, since 2×116177556096² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 608259361 + ... + 608259551.

It is an arithmetic number, because the mean of its divisors is an integer number (454679280).

Almost surely, 2^116177556096 is an apocalyptic number.

116177556096 is a gapful number since it is divisible by the number (16) 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 116177556096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218246054400).

116177556096 is an abundant number, since it is smaller than the sum of its proper divisors (320314552704).

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

116177556096 is a wasteful number, since it uses less digits than its factorization.

116177556096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 54.

The spelling of 116177556096 in words is "one hundred sixteen billion, one hundred seventy-seven million, five hundred fifty-six thousand, ninety-six".