117730155628800 has 2592 divisors, whose sum is σ = 512776333130880. Its totient is φ = 26254761984000.

The previous prime is 117730155628783. The next prime is 117730155628847. The reversal of 117730155628800 is 8826551037711.

117730155628800 is a `hidden beast` number, since 1 + 1 + 7 + 7 + 3 + 0 + 1 + 5 + 5 + 628 + 8 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 107910316255 + ... + 107910317345.

Almost surely, 2^{117730155628800} is an apocalyptic number.

117730155628800 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 117730155628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256388166565440).

117730155628800 is an abundant number, since it is smaller than the sum of its proper divisors (395046177502080).

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

117730155628800 is a wasteful number, since it uses less digits than its factorization.

117730155628800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 117730155628800 in words is "one hundred seventeen trillion, seven hundred thirty billion, one hundred fifty-five million, six hundred twenty-eight thousand, eight hundred".