116624470507200 has 1344 divisors, whose sum is σ = 440816302617600. Its totient is φ = 29978682163200.

The previous prime is 116624470507189. The next prime is 116624470507219. The reversal of 116624470507200 is 2705074426611.

116624470507200 is a `hidden beast` number, since 1 + 1 + 6 + 62 + 4 + 470 + 50 + 72 + 0 + 0 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 33677292669 + ... + 33677296131.

It is an arithmetic number, because the mean of its divisors is an integer number (327988320400).

Almost surely, 2^{116624470507200} is an apocalyptic number.

116624470507200 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 116624470507200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220408151308800).

116624470507200 is an abundant number, since it is smaller than the sum of its proper divisors (324191832110400).

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

116624470507200 is a wasteful number, since it uses less digits than its factorization.

116624470507200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3807 (or 3786 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 116624470507200 in words is "one hundred sixteen trillion, six hundred twenty-four billion, four hundred seventy million, five hundred seven thousand, two hundred".