272216716696800 has 1152 divisors, whose sum is σ = 1041844957655040. Its totient is φ = 68459212800000.

The previous prime is 272216716696789. The next prime is 272216716696831. The reversal of 272216716696800 is 8696617612272.

272216716696800 is a `hidden beast` number, since 272 + 216 + 7 + 1 + 66 + 96 + 8 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12092597545 + ... + 12092620055.

It is an arithmetic number, because the mean of its divisors is an integer number (904379303520).

Almost surely, 2^{272216716696800} is an apocalyptic number.

272216716696800 is a gapful number since it is divisible by the number (20) 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 272216716696800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520922478827520).

272216716696800 is an abundant number, since it is smaller than the sum of its proper divisors (769628240958240).

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

272216716696800 is a wasteful number, since it uses less digits than its factorization.

272216716696800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22905 (or 22886 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 272216716696800 in words is "two hundred seventy-two trillion, two hundred sixteen billion, seven hundred sixteen million, six hundred ninety-six thousand, eight hundred".