253911600972 has 108 divisors (see below), whose sum is σ = 663307444800. Its totient is φ = 81867589440.

The previous prime is 253911600827. The next prime is 253911600973. The reversal of 253911600972 is 279006119352.

It is a happy number.

253911600972 is a `hidden beast` number, since 2 + 5 + 39 + 1 + 1 + 600 + 9 + 7 + 2 = 666.

253911600972 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×253911600972² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (253911600973) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9605029 + ... + 9631427.

It is an arithmetic number, because the mean of its divisors is an integer number (6141735600).

Almost surely, 2^253911600972 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 253911600972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331653722400).

253911600972 is an abundant number, since it is smaller than the sum of its proper divisors (409395843828).

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

253911600972 is a wasteful number, since it uses less digits than its factorization.

253911600972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26604 (or 26528 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 253911600972 in words is "two hundred fifty-three billion, nine hundred eleven million, six hundred thousand, nine hundred seventy-two".