272109031318080 has 896 divisors, whose sum is σ = 1095797296742400. Its totient is φ = 62963354419200.

The previous prime is 272109031318063. The next prime is 272109031318093. The reversal of 272109031318080 is 80813130901272.

272109031318080 is a `hidden beast` number, since 2 + 7 + 210 + 90 + 31 + 318 + 0 + 8 + 0 = 666.

272109031318080 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 214442931 + ... + 215708109.

It is an arithmetic number, because the mean of its divisors is an integer number (1222988054400).

Almost surely, 2^{272109031318080} is an apocalyptic number.

272109031318080 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 272109031318080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547898648371200).

272109031318080 is an abundant number, since it is smaller than the sum of its proper divisors (823688265424320).

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

272109031318080 is a wasteful number, since it uses less digits than its factorization.

272109031318080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265320 (or 1265304 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 272109031318080 in words is "two hundred seventy-two trillion, one hundred nine billion, thirty-one million, three hundred eighteen thousand, eighty".