263557131264 has 616 divisors, whose sum is σ = 932464636928. Its totient is φ = 72828149760.

The previous prime is 263557131193. The next prime is 263557131269. The reversal of 263557131264 is 462131755362.

263557131264 is a `hidden beast` number, since 2 + 6 + 3 + 5 + 571 + 3 + 12 + 64 = 666.

It is a super-2 number, since 2×263557131264² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263557131269) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 161988819 + ... + 161990445.

Almost surely, 2^263557131264 is an apocalyptic number.

263557131264 is a gapful number since it is divisible by the number (24) 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 263557131264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466232318464).

263557131264 is an abundant number, since it is smaller than the sum of its proper divisors (668907505664).

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

263557131264 is an equidigital number, since it uses as much as digits as its factorization.

263557131264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703 (or 1670 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 263557131264 in words is "two hundred sixty-three billion, five hundred fifty-seven million, one hundred thirty-one thousand, two hundred sixty-four".