253508769346560 has 704 divisors, whose sum is σ = 999248978112000. Its totient is φ = 53417783328768.

The previous prime is 253508769346513. The next prime is 253508769346589. The reversal of 253508769346560 is 65643967805352.

It is a super-2 number, since 2×253508769346560² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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, 1074759516 + ... + 1074995364.

It is an arithmetic number, because the mean of its divisors is an integer number (1419387753000).

Almost surely, 2^{253508769346560} is an apocalyptic number.

253508769346560 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 253508769346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499624489056000).

253508769346560 is an abundant number, since it is smaller than the sum of its proper divisors (745740208765440).

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

253508769346560 is a wasteful number, since it uses less digits than its factorization.

253508769346560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236666 (or 236648 counting only the distinct ones).

The product of its (nonzero) digits is 979776000, while the sum is 69.

The spelling of 253508769346560 in words is "two hundred fifty-three trillion, five hundred eight billion, seven hundred sixty-nine million, three hundred forty-six thousand, five hundred sixty".