272428821658224 has 1920 divisors, whose sum is σ = 1047115913625600. Its totient is φ = 68464297440000.

The previous prime is 272428821658183. The next prime is 272428821658283. The reversal of 272428821658224 is 422856128824272.

272428821658224 is a `hidden beast` number, since 2 + 7 + 2 + 4 + 2 + 8 + 8 + 21 + 6 + 582 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 55025006949 + ... + 55025011899.

It is an arithmetic number, because the mean of its divisors is an integer number (545372871680).

Almost surely, 2^{272428821658224} is an apocalyptic number.

272428821658224 is a gapful number since it is divisible by the number (24) 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 272428821658224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523557956812800).

272428821658224 is an abundant number, since it is smaller than the sum of its proper divisors (774687091967376).

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

272428821658224 is an equidigital number, since it uses as much as digits as its factorization.

272428821658224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5059 (or 5005 counting only the distinct ones).

The product of its digits is 110100480, while the sum is 63.

The spelling of 272428821658224 in words is "two hundred seventy-two trillion, four hundred twenty-eight billion, eight hundred twenty-one million, six hundred fifty-eight thousand, two hundred twenty-four".