117521505328500 has 1536 divisors, whose sum is σ = 478392193843200. Its totient is φ = 24250930329600.

The previous prime is 117521505328499. The next prime is 117521505328517. The reversal of 117521505328500 is 5823505125711.

117521505328500 is a `hidden beast` number, since 1 + 1 + 7 + 5 + 21 + 50 + 53 + 28 + 500 = 666.

It is a super-2 number, since 2×117521505328500² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 10384504842 + ... + 10384516158.

It is an arithmetic number, because the mean of its divisors is an integer number (311453251200).

Almost surely, 2^{117521505328500} is an apocalyptic number.

117521505328500 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 117521505328500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239196096921600).

117521505328500 is an abundant number, since it is smaller than the sum of its proper divisors (360870688514700).

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

117521505328500 is a wasteful number, since it uses less digits than its factorization.

117521505328500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11551 (or 11533 counting only the distinct ones).

The product of its (nonzero) digits is 420000, while the sum is 45.

The spelling of 117521505328500 in words is "one hundred seventeen trillion, five hundred twenty-one billion, five hundred five million, three hundred twenty-eight thousand, five hundred".