253500750635776 has 576 divisors, whose sum is σ = 667475495608320. Its totient is φ = 93444259184640.

The previous prime is 253500750635723. The next prime is 253500750636011. The reversal of 253500750635776 is 677536057005352.

It is a super-2 number, since 2×253500750635776² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5616229080 + ... + 5616274216.

It is an arithmetic number, because the mean of its divisors is an integer number (1158811624320).

Almost surely, 2^{253500750635776} 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 253500750635776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333737747804160).

253500750635776 is an abundant number, since it is smaller than the sum of its proper divisors (413974744972544).

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

253500750635776 is a wasteful number, since it uses less digits than its factorization.

253500750635776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45540 (or 45526 counting only the distinct ones).

The product of its (nonzero) digits is 138915000, while the sum is 61.

The spelling of 253500750635776 in words is "two hundred fifty-three trillion, five hundred billion, seven hundred fifty million, six hundred thirty-five thousand, seven hundred seventy-six".