117577632153600 has 960 divisors, whose sum is σ = 454526447039280. Its totient is φ = 29990427033600.

The previous prime is 117577632153599. The next prime is 117577632153617. The reversal of 117577632153600 is 6351236775711.

117577632153600 is a `hidden beast` number, since 1 + 1 + 7 + 5 + 7 + 7 + 6 + 3 + 21 + 5 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1526131080 + ... + 1526208120.

Almost surely, 2^{117577632153600} is an apocalyptic number.

117577632153600 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 117577632153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227263223519640).

117577632153600 is an abundant number, since it is smaller than the sum of its proper divisors (336948814885680).

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

117577632153600 is an frugal number, since it uses more digits than its factorization.

117577632153600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77116 (or 77074 counting only the distinct ones).

The product of its (nonzero) digits is 5556600, while the sum is 54.

The spelling of 117577632153600 in words is "one hundred seventeen trillion, five hundred seventy-seven billion, six hundred thirty-two million, one hundred fifty-three thousand, six hundred".