117007545600 has 1620 divisors, whose sum is σ = 508417021728. Its totient is φ = 26320896000.

The previous prime is 117007545569. The next prime is 117007545623. The reversal of 117007545600 is 6545700711.

117007545600 is a `hidden beast` number, since 1 + 1 + 7 + 0 + 0 + 7 + 5 + 45 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

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

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 179 ways as a sum of consecutive naturals, for example, 1647993565 + ... + 1647993635.

Almost surely, 2^117007545600 is an apocalyptic number.

117007545600 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 117007545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254208510864).

117007545600 is an abundant number, since it is smaller than the sum of its proper divisors (391409476128).

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

117007545600 is a wasteful number, since it uses less digits than its factorization.

117007545600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 117007545600 in words is "one hundred seventeen billion, seven million, five hundred forty-five thousand, six hundred".