117132057504 has 672 divisors, whose sum is σ = 438538181760. Its totient is φ = 29897164800.

The previous prime is 117132057499. The next prime is 117132057517. The reversal of 117132057504 is 405750231711.

117132057504 is a `hidden beast` number, since 1 + 1 + 71 + 32 + 0 + 57 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 111 ways as a sum of consecutive naturals, for example, 109571082 + ... + 109572150.

It is an arithmetic number, because the mean of its divisors is an integer number (652586580).

Almost surely, 2^117132057504 is an apocalyptic number.

117132057504 is a gapful number since it is divisible by the number (14) 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 117132057504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219269090880).

117132057504 is an abundant number, since it is smaller than the sum of its proper divisors (321406124256).

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

117132057504 is a wasteful number, since it uses less digits than its factorization.

117132057504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 117132057504 in words is "one hundred seventeen billion, one hundred thirty-two million, fifty-seven thousand, five hundred four".