253004793888 has 576 divisors, whose sum is σ = 860588209152. Its totient is φ = 63219824640.

The previous prime is 253004793817. The next prime is 253004793889. The reversal of 253004793888 is 888397400352.

It is a super-2 number, since 2×253004793888² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253004793889) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1462455370 + ... + 1462455542.

It is an arithmetic number, because the mean of its divisors is an integer number (1494076752).

Almost surely, 2^253004793888 is an apocalyptic number.

253004793888 is a gapful number since it is divisible by the number (28) 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 253004793888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430294104576).

253004793888 is an abundant number, since it is smaller than the sum of its proper divisors (607583415264).

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

253004793888 is a wasteful number, since it uses less digits than its factorization.

253004793888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 253004793888 in words is "two hundred fifty-three billion, four million, seven hundred ninety-three thousand, eight hundred eighty-eight".