253997761160 has 256 divisors, whose sum is σ = 701955072000. Its totient is φ = 81393269760.

The previous prime is 253997761159. The next prime is 253997761327. The reversal of 253997761160 is 61167799352.

It is a junction number, because it is equal to n+sod(n) for n = 253997761096 and 253997761105.

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, 81434081 + ... + 81437199.

It is an arithmetic number, because the mean of its divisors is an integer number (2742012000).

Almost surely, 2^253997761160 is an apocalyptic number.

253997761160 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 253997761160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350977536000).

253997761160 is an abundant number, since it is smaller than the sum of its proper divisors (447957310840).

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

253997761160 is a wasteful number, since it uses less digits than its factorization.

253997761160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3796 (or 3792 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 56.

The spelling of 253997761160 in words is "two hundred fifty-three billion, nine hundred ninety-seven million, seven hundred sixty-one thousand, one hundred sixty".