116882472404880 has 1600 divisors, whose sum is σ = 508820833382400. Its totient is φ = 24208521891840.

The previous prime is 116882472404861. The next prime is 116882472404881. The reversal of 116882472404880 is 88404274288611.

116882472404880 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 8 + 2 + 472 + 40 + 48 + 80 = 666.

116882472404880 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (116882472404881) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 29885570125 + ... + 29885574035.

It is an arithmetic number, because the mean of its divisors is an integer number (318013020864).

Almost surely, 2^{116882472404880} is an apocalyptic number.

116882472404880 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 116882472404880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254410416691200).

116882472404880 is an abundant number, since it is smaller than the sum of its proper divisors (391938360977520).

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

116882472404880 is a wasteful number, since it uses less digits than its factorization.

116882472404880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4874 (or 4859 counting only the distinct ones).

The product of its (nonzero) digits is 44040192, while the sum is 63.

The spelling of 116882472404880 in words is "one hundred sixteen trillion, eight hundred eighty-two billion, four hundred seventy-two million, four hundred four thousand, eight hundred eighty".