272513808000 has 3072 divisors, whose sum is σ = 1334469427200. Its totient is φ = 53747712000.

The previous prime is 272513807987. The next prime is 272513808001. The reversal of 272513808000 is 808315272.

272513808000 is a `hidden beast` number, since 27 + 251 + 380 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272513808001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8790767985 + ... + 8790768015.

It is an arithmetic number, because the mean of its divisors is an integer number (434397600).

Almost surely, 2^272513808000 is an apocalyptic number.

272513808000 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 272513808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667234713600).

272513808000 is an abundant number, since it is smaller than the sum of its proper divisors (1061955619200).

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

272513808000 is a wasteful number, since it uses less digits than its factorization.

272513808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 272513808000 in words is "two hundred seventy-two billion, five hundred thirteen million, eight hundred eight thousand".