117028027584 has 630 divisors, whose sum is σ = 390946622220. Its totient is φ = 34596357120.

The previous prime is 117028027577. The next prime is 117028027601. The reversal of 117028027584 is 485720820711.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 841928187 + ... + 841928325.

It is an arithmetic number, because the mean of its divisors is an integer number (620550194).

Almost surely, 2^117028027584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117028027584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195473311110).

117028027584 is an abundant number, since it is smaller than the sum of its proper divisors (273918594636).

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

117028027584 is a wasteful number, since it uses less digits than its factorization.

117028027584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 117028027584 in words is "one hundred seventeen billion, twenty-eight million, twenty-seven thousand, five hundred eighty-four".