117951724800 has 1296 divisors, whose sum is σ = 536181098880. Its totient is φ = 24843386880.

The previous prime is 117951724783. The next prime is 117951724837. The reversal of 117951724800 is 8427159711.

It is a happy number.

117951724800 is a `hidden beast` number, since 1 + 17 + 95 + 1 + 72 + 480 + 0 = 666.

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

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 143 ways as a sum of consecutive naturals, for example, 204422112 + ... + 204422688.

Almost surely, 2^117951724800 is an apocalyptic number.

117951724800 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 117951724800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268090549440).

117951724800 is an abundant number, since it is smaller than the sum of its proper divisors (418229374080).

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

117951724800 is a wasteful number, since it uses less digits than its factorization.

117951724800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 117951724800 in words is "one hundred seventeen billion, nine hundred fifty-one million, seven hundred twenty-four thousand, eight hundred".