253644005532672 has 792 divisors, whose sum is σ = 794916733698360. Its totient is φ = 80784961044480.

The previous prime is 253644005532611. The next prime is 253644005532713. The reversal of 253644005532672 is 276235500446352.

253644005532672 is a `hidden beast` number, since 2 + 5 + 3 + 6 + 4 + 40 + 0 + 5 + 532 + 67 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 93122808800256 + 160521196732416 = 9650016^2 + 12669696^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18899032522 + ... + 18899045942.

Almost surely, 2^{253644005532672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253644005532672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397458366849180).

253644005532672 is an abundant number, since it is smaller than the sum of its proper divisors (541272728165688).

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

253644005532672 is an frugal number, since it uses more digits than its factorization.

253644005532672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13591 (or 13552 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 54.

The spelling of 253644005532672 in words is "two hundred fifty-three trillion, six hundred forty-four billion, five million, five hundred thirty-two thousand, six hundred seventy-two".