117058933555200 has 3264 divisors, whose sum is σ = 537356706969600. Its totient is φ = 24629351546880.

The previous prime is 117058933555171. The next prime is 117058933555243. The reversal of 117058933555200 is 2555339850711.

117058933555200 is a `hidden beast` number, since 1 + 1 + 7 + 0 + 5 + 89 + 3 + 3 + 5 + 552 + 0 + 0 = 666.

It is a super-3 number, since 3×117058933555200³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 326069452621 + ... + 326069452979.

Almost surely, 2^{117058933555200} is an apocalyptic number.

117058933555200 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 117058933555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268678353484800).

117058933555200 is an abundant number, since it is smaller than the sum of its proper divisors (420297773414400).

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

117058933555200 is an frugal number, since it uses more digits than its factorization.

117058933555200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 5670000, while the sum is 54.

The spelling of 117058933555200 in words is "one hundred seventeen trillion, fifty-eight billion, nine hundred thirty-three million, five hundred fifty-five thousand, two hundred".