253160631779328 has 1080 divisors, whose sum is σ = 911938672689408. Its totient is φ = 65900672188416.

The previous prime is 253160631779317. The next prime is 253160631779333. The reversal of 253160631779328 is 823977136061352.

253160631779328 is a `hidden beast` number, since 2 + 5 + 3 + 1 + 606 + 3 + 17 + 7 + 9 + 3 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 83744832025 + ... + 83744835047.

Almost surely, 2^{253160631779328} is an apocalyptic number.

253160631779328 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 253160631779328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455969336344704).

253160631779328 is an abundant number, since it is smaller than the sum of its proper divisors (658778040910080).

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

253160631779328 is an equidigital number, since it uses as much as digits as its factorization.

253160631779328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3235 (or 3127 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 253160631779328 in words is "two hundred fifty-three trillion, one hundred sixty billion, six hundred thirty-one million, seven hundred seventy-nine thousand, three hundred twenty-eight".