117950447764800 has 1008 divisors, whose sum is σ = 521919608757120. Its totient is φ = 25787913338880.

The previous prime is 117950447764781. The next prime is 117950447764819. The reversal of 117950447764800 is 8467744059711.

117950447764800 is a `hidden beast` number, since 1 + 1 + 7 + 9 + 50 + 447 + 7 + 64 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (117950447764781) and next prime (117950447764819).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×117950447764800² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 47475072 + ... + 49897728.

It is an arithmetic number, because the mean of its divisors is an integer number (517777389640).

Almost surely, 2^{117950447764800} is an apocalyptic number.

117950447764800 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 117950447764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260959804378560).

117950447764800 is an abundant number, since it is smaller than the sum of its proper divisors (403969160992320).

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

117950447764800 is a wasteful number, since it uses less digits than its factorization.

117950447764800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422725 (or 2422697 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 117950447764800 in words is "one hundred seventeen trillion, nine hundred fifty billion, four hundred forty-seven million, seven hundred sixty-four thousand, eight hundred".