117577656000 has 1680 divisors, whose sum is σ = 530272142400. Its totient is φ = 25706419200.

The previous prime is 117577655981. The next prime is 117577656041. The reversal of 117577656000 is 656775711.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

117577656000 is a `hidden beast` number, since 1 + 17 + 5 + 7 + 76 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5112071989 + ... + 5112072011.

It is an arithmetic number, because the mean of its divisors is an integer number (315638180).

Almost surely, 2^117577656000 is an apocalyptic number.

117577656000 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 117577656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265136071200).

117577656000 is an abundant number, since it is smaller than the sum of its proper divisors (412694486400).

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

117577656000 is an frugal number, since it uses more digits than its factorization.

117577656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 308700, while the sum is 45.

The spelling of 117577656000 in words is "one hundred seventeen billion, five hundred seventy-seven million, six hundred fifty-six thousand".