117201010560 has 512 divisors, whose sum is σ = 417045196800. Its totient is φ = 27869184000.

The previous prime is 117201010489. The next prime is 117201010609. The reversal of 117201010560 is 65010102711.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 117201010560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41841160 + ... + 41843960.

It is an arithmetic number, because the mean of its divisors is an integer number (814541400).

Almost surely, 2^117201010560 is an apocalyptic number.

117201010560 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 117201010560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208522598400).

117201010560 is an abundant number, since it is smaller than the sum of its proper divisors (299844186240).

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

117201010560 is a wasteful number, since it uses less digits than its factorization.

117201010560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2910 (or 2898 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 24.

The spelling of 117201010560 in words is "one hundred seventeen billion, two hundred one million, ten thousand, five hundred sixty".