253469776560 has 1280 divisors, whose sum is σ = 1087730380800. Its totient is φ = 47138734080.

The previous prime is 253469776523. The next prime is 253469776607. The reversal of 253469776560 is 65677964352.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 253469776494 and 253469776503.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1701139366 + ... + 1701139514.

It is an arithmetic number, because the mean of its divisors is an integer number (849789360).

Almost surely, 2^253469776560 is an apocalyptic number.

253469776560 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 253469776560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543865190400).

253469776560 is an abundant number, since it is smaller than the sum of its proper divisors (834260604240).

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

253469776560 is a wasteful number, since it uses less digits than its factorization.

253469776560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 60.

The spelling of 253469776560 in words is "two hundred fifty-three billion, four hundred sixty-nine million, seven hundred seventy-six thousand, five hundred sixty".