272890538279424 has 960 divisors, whose sum is σ = 937588560670080. Its totient is φ = 79026192580608.

The previous prime is 272890538279357. The next prime is 272890538279497. The reversal of 272890538279424 is 424972835098272.

272890538279424 is a `hidden beast` number, since 2 + 7 + 2 + 8 + 9 + 0 + 53 + 82 + 79 + 424 = 666.

It is a super-5 number, since 5×272890538279424⁵ (a number of 73 digits) contains 55555 as substring.

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, 3216982099 + ... + 3217066925.

It is an arithmetic number, because the mean of its divisors is an integer number (976654750698).

Almost surely, 2^{272890538279424} is an apocalyptic number.

272890538279424 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 272890538279424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468794280335040).

272890538279424 is an abundant number, since it is smaller than the sum of its proper divisors (664698022390656).

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

272890538279424 is an frugal number, since it uses more digits than its factorization.

272890538279424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84909 (or 84862 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 272890538279424 in words is "two hundred seventy-two trillion, eight hundred ninety billion, five hundred thirty-eight million, two hundred seventy-nine thousand, four hundred twenty-four".