253292582753280 has 660 divisors, whose sum is σ = 1055846455655508. Its totient is φ = 57895442841600.

The previous prime is 253292582753237. The next prime is 253292582753363. The reversal of 253292582753280 is 82357285292352.

253292582753280 is a `hidden beast` number, since 2 + 5 + 3 + 2 + 9 + 258 + 275 + 32 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 139041453229056 + 114251129524224 = 11791584^2 + 10688832^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14089080 + ... + 26553480.

Almost surely, 2^{253292582753280} is an apocalyptic number.

253292582753280 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 253292582753280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527923227827754).

253292582753280 is an abundant number, since it is smaller than the sum of its proper divisors (802553872902228).

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

253292582753280 is a wasteful number, since it uses less digits than its factorization.

253292582753280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12464452 (or 12464418 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 253292582753280 in words is "two hundred fifty-three trillion, two hundred ninety-two billion, five hundred eighty-two million, seven hundred fifty-three thousand, two hundred eighty".