272879124480 has 816 divisors, whose sum is σ = 1030532630400. Its totient is φ = 69136809984.

The previous prime is 272879124467. The next prime is 272879124559. The reversal of 272879124480 is 84421978272.

272879124480 is a `hidden beast` number, since 2 + 72 + 8 + 7 + 91 + 2 + 4 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1831403446 + ... + 1831403594.

Almost surely, 2^272879124480 is an apocalyptic number.

272879124480 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 272879124480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515266315200).

272879124480 is an abundant number, since it is smaller than the sum of its proper divisors (757653505920).

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

272879124480 is an frugal number, since it uses more digits than its factorization.

272879124480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 272879124480 in words is "two hundred seventy-two billion, eight hundred seventy-nine million, one hundred twenty-four thousand, four hundred eighty".