117216826272 has 1080 divisors, whose sum is σ = 447831369216. Its totient is φ = 29957630976.

The previous prime is 117216826267. The next prime is 117216826291. The reversal of 117216826272 is 272628612711.

117216826272 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 16 + 8 + 2 + 627 + 2 = 666.

It is a super-2 number, since 2×117216826272² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 922967073 + ... + 922967199.

Almost surely, 2^117216826272 is an apocalyptic number.

117216826272 is a gapful number since it is divisible by the number (12) 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 117216826272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223915684608).

117216826272 is an abundant number, since it is smaller than the sum of its proper divisors (330614542944).

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

117216826272 is a wasteful number, since it uses less digits than its factorization.

117216826272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 195 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The spelling of 117216826272 in words is "one hundred seventeen billion, two hundred sixteen million, eight hundred twenty-six thousand, two hundred seventy-two".