272158249574160 has 1920 divisors, whose sum is σ = 1087492864573440. Its totient is φ = 60519525580800.

The previous prime is 272158249574137. The next prime is 272158249574203. The reversal of 272158249574160 is 61475942851272.

272158249574160 is a `hidden beast` number, since 2 + 7 + 2 + 1 + 5 + 8 + 2 + 49 + 574 + 16 + 0 = 666.

It is a super-2 number, since 2×272158249574160² (a number of 30 digits) contains 22 as substring.

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, 25600432045 + ... + 25600442675.

It is an arithmetic number, because the mean of its divisors is an integer number (566402533632).

Almost surely, 2^{272158249574160} is an apocalyptic number.

272158249574160 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 272158249574160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543746432286720).

272158249574160 is an abundant number, since it is smaller than the sum of its proper divisors (815334614999280).

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

272158249574160 is a wasteful number, since it uses less digits than its factorization.

272158249574160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10837 (or 10828 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 272158249574160 in words is "two hundred seventy-two trillion, one hundred fifty-eight billion, two hundred forty-nine million, five hundred seventy-four thousand, one hundred sixty".