116226171182880 has 2592 divisors, whose sum is σ = 476242284720384. Its totient is φ = 25740238233600.

The previous prime is 116226171182879. The next prime is 116226171182939. The reversal of 116226171182880 is 88281171622611.

116226171182880 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 2 + 617 + 1 + 18 + 2 + 8 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 396676352014 + ... + 396676352306.

It is an arithmetic number, because the mean of its divisors is an integer number (183735449352).

Almost surely, 2^{116226171182880} is an apocalyptic number.

116226171182880 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 116226171182880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238121142360192).

116226171182880 is an abundant number, since it is smaller than the sum of its proper divisors (360016113537504).

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

116226171182880 is a wasteful number, since it uses less digits than its factorization.

116226171182880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 54.

The spelling of 116226171182880 in words is "one hundred sixteen trillion, two hundred twenty-six billion, one hundred seventy-one million, one hundred eighty-two thousand, eight hundred eighty".