253259650944 has 128 divisors (see below), whose sum is σ = 748397664000. Its totient is φ = 84314856960.

The previous prime is 253259650939. The next prime is 253259650957. The reversal of 253259650944 is 449056952352.

253259650944 is a `hidden beast` number, since 2 + 5 + 3 + 2 + 5 + 96 + 509 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×253259650944² (a number of 24 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 2757637 + ... + 2847995.

It is an arithmetic number, because the mean of its divisors is an integer number (5846856750).

Almost surely, 2^253259650944 is an apocalyptic number.

253259650944 is a gapful number since it is divisible by the number (24) 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 253259650944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374198832000).

253259650944 is an abundant number, since it is smaller than the sum of its proper divisors (495138013056).

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

253259650944 is an equidigital number, since it uses as much as digits as its factorization.

253259650944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91193 (or 91175 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 253259650944 in words is "two hundred fifty-three billion, two hundred fifty-nine million, six hundred fifty thousand, nine hundred forty-four".