253459279872 has 364 divisors, whose sum is σ = 786410701920. Its totient is φ = 81545232384.

The previous prime is 253459279771. The next prime is 253459279897. The reversal of 253459279872 is 278972954352.

253459279872 is a `hidden beast` number, since 2 + 5 + 3 + 459 + 27 + 98 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 86592073 + ... + 86594999.

Almost surely, 2^253459279872 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 253459279872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393205350960).

253459279872 is an abundant number, since it is smaller than the sum of its proper divisors (532951422048).

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

253459279872 is an frugal number, since it uses more digits than its factorization.

253459279872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2998 (or 2961 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 63.

The spelling of 253459279872 in words is "two hundred fifty-three billion, four hundred fifty-nine million, two hundred seventy-nine thousand, eight hundred seventy-two".