253761017104560 has 120 divisors (see below), whose sum is σ = 915093300499056. Its totient is φ = 58002518192640.

The previous prime is 253761017104559. The next prime is 253761017104583. The reversal of 253761017104560 is 65401710167352.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10789147131 + ... + 10789170650.

Almost surely, 2^{253761017104560} is an apocalyptic number.

253761017104560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253761017104560 is an abundant number, since it is smaller than the sum of its proper divisors (661332283394496).

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

253761017104560 is a wasteful number, since it uses less digits than its factorization.

253761017104560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21578317811 (or 21578317798 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 48.

The spelling of 253761017104560 in words is "two hundred fifty-three trillion, seven hundred sixty-one billion, seventeen million, one hundred four thousand, five hundred sixty".