253831774560 has 576 divisors, whose sum is σ = 1017023164416. Its totient is φ = 51819540480.

The previous prime is 253831774549. The next prime is 253831774619. The reversal of 253831774560 is 65477138352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41973457 + ... + 41979503.

It is an arithmetic number, because the mean of its divisors is an integer number (1765665216).

Almost surely, 2^253831774560 is an apocalyptic number.

253831774560 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 253831774560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508511582208).

253831774560 is an abundant number, since it is smaller than the sum of its proper divisors (763191389856).

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

253831774560 is a wasteful number, since it uses less digits than its factorization.

253831774560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6147 (or 6108 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 51.

The spelling of 253831774560 in words is "two hundred fifty-three billion, eight hundred thirty-one million, seven hundred seventy-four thousand, five hundred sixty".