117050572800 has 1134 divisors, whose sum is σ = 506284902333. Its totient is φ = 26754416640.

The previous prime is 117050572747. The next prime is 117050572811. The reversal of 117050572800 is 8275050711.

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.

It is a Jordan-Polya number, since it can be written as 9! ⋅ 8! ⋅ (2!)³.

117050572800 is a `hidden beast` number, since 1 + 1 + 7 + 0 + 5 + 0 + 572 + 80 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 114709561344 + 2341011456 = 338688^2 + 48384^2 .

It is a tau number, because it is divible by the number of its divisors (1134).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=241920.

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

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 16721510397 + ... + 16721510403.

Almost surely, 2^117050572800 is an apocalyptic number.

117050572800 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 117050572800

117050572800 is an abundant number, since it is smaller than the sum of its proper divisors (389234329533).

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

117050572800 is an frugal number, since it uses more digits than its factorization.

117050572800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

The spelling of 117050572800 in words is "one hundred seventeen billion, fifty million, five hundred seventy-two thousand, eight hundred".