116279574400 has 576 divisors, whose sum is σ = 341678131200. Its totient is φ = 38668492800.

The previous prime is 116279574361. The next prime is 116279574427. The reversal of 116279574400 is 4475972611.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 915587137 + ... + 915587263.

It is an arithmetic number, because the mean of its divisors is an integer number (593191200).

Almost surely, 2^116279574400 is an apocalyptic number.

116279574400 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 116279574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170839065600).

116279574400 is an abundant number, since it is smaller than the sum of its proper divisors (225398556800).

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

116279574400 is a wasteful number, since it uses less digits than its factorization.

116279574400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The spelling of 116279574400 in words is "one hundred sixteen billion, two hundred seventy-nine million, five hundred seventy-four thousand, four hundred".