117155598400 has 189 divisors, whose sum is σ = 296626544541. Its totient is φ = 45542407680.

The previous prime is 117155598367. The next prime is 117155598401. The reversal of 117155598400 is 4895551711.

The square root of 117155598400 is 342280.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 42176015424 + 74979582976 = 205368^2 + 273824^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (117155598401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 588721501 + ... + 588721699.

Almost surely, 2^117155598400 is an apocalyptic number.

117155598400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

117155598400 is the 342280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117155598400

117155598400 is an abundant number, since it is smaller than the sum of its proper divisors (179470946141).

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

117155598400 is an frugal number, since it uses more digits than its factorization.

117155598400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 46.

The spelling of 117155598400 in words is "one hundred seventeen billion, one hundred fifty-five million, five hundred ninety-eight thousand, four hundred".