253103305303680 has 256 divisors, whose sum is σ = 875666927923200. Its totient is φ = 61811781599232.

The previous prime is 253103305303633. The next prime is 253103305303703. The reversal of 253103305303680 is 86303503301352.

It is a super-2 number, since 2×253103305303680² (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 31 ways as a sum of consecutive naturals, for example, 36752745 + ... + 43092584.

It is an arithmetic number, because the mean of its divisors is an integer number (3420573937200).

Almost surely, 2^{253103305303680} is an apocalyptic number.

253103305303680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253103305303680 is an abundant number, since it is smaller than the sum of its proper divisors (622563622619520).

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

253103305303680 is a wasteful number, since it uses less digits than its factorization.

253103305303680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79845491 (or 79845479 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 42.

The spelling of 253103305303680 in words is "two hundred fifty-three trillion, one hundred three billion, three hundred five million, three hundred three thousand, six hundred eighty".