272974425570000 has 3200 divisors, whose sum is σ = 1289712919756800. Its totient is φ = 53537760000000.

The previous prime is 272974425569971. The next prime is 272974425570059. The reversal of 272974425570000 is 75524479272.

272974425570000 is a `hidden beast` number, since 2 + 7 + 2 + 9 + 7 + 44 + 25 + 570 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 121268068875 + ... + 121268071125.

It is an arithmetic number, because the mean of its divisors is an integer number (403035287424).

Almost surely, 2^{272974425570000} is an apocalyptic number.

272974425570000 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 272974425570000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644856459878400).

272974425570000 is an abundant number, since it is smaller than the sum of its proper divisors (1016738494186800).

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

272974425570000 is a wasteful number, since it uses less digits than its factorization.

272974425570000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2632 (or 2605 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 272974425570000 in words is "two hundred seventy-two trillion, nine hundred seventy-four billion, four hundred twenty-five million, five hundred seventy thousand".