117288250200900 has 189 divisors, whose sum is σ = 381608203391373. Its totient is φ = 31276086962400.

The previous prime is 117288250200883. The next prime is 117288250200937. The reversal of 117288250200900 is 9002052882711.

The square root of 117288250200900 is 10829970.

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

117288250200900 is a `hidden beast` number, since 1 + 17 + 288 + 250 + 20 + 0 + 90 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42223770072324 + 75064480128576 = 6497982^2 + 8663976^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2924071845 + ... + 2924111955.

Almost surely, 2^{117288250200900} is an apocalyptic number.

117288250200900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

117288250200900 is the 10829970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117288250200900

117288250200900 is an abundant number, since it is smaller than the sum of its proper divisors (264319953190473).

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

117288250200900 is an frugal number, since it uses more digits than its factorization.

117288250200900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80254 (or 40121 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 117288250200900 in words is "one hundred seventeen trillion, two hundred eighty-eight billion, two hundred fifty million, two hundred thousand, nine hundred".