272896968960 has 864 divisors, whose sum is σ = 1246492945152. Its totient is φ = 53367275520.

The previous prime is 272896968931. The next prime is 272896968979. The reversal of 272896968960 is 69869698272.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15070632 + ... + 15088728.

It is an arithmetic number, because the mean of its divisors is an integer number (1442700168).

Almost surely, 2^272896968960 is an apocalyptic number.

272896968960 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 272896968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623246472576).

272896968960 is an abundant number, since it is smaller than the sum of its proper divisors (973595976192).

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

272896968960 is a wasteful number, since it uses less digits than its factorization.

272896968960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18159 (or 18142 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 272896968960 in words is "two hundred seventy-two billion, eight hundred ninety-six million, nine hundred sixty-eight thousand, nine hundred sixty".