263421753170560 has 256 divisors, whose sum is σ = 645912672768000. Its totient is φ = 102702234894336.

The previous prime is 263421753170519. The next prime is 263421753170567. The reversal of 263421753170560 is 65071357124362.

It is a junction number, because it is equal to n+sod(n) for n = 263421753170498 and 263421753170507.

It is not an unprimeable number, because it can be changed into a prime (263421753170567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1950352311 + ... + 1950487369.

It is an arithmetic number, because the mean of its divisors is an integer number (2523096378000).

Almost surely, 2^{263421753170560} is an apocalyptic number.

263421753170560 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 263421753170560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322956336384000).

263421753170560 is an abundant number, since it is smaller than the sum of its proper divisors (382490919597440).

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

263421753170560 is a wasteful number, since it uses less digits than its factorization.

263421753170560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135643 (or 135631 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 52.

The spelling of 263421753170560 in words is "two hundred sixty-three trillion, four hundred twenty-one billion, seven hundred fifty-three million, one hundred seventy thousand, five hundred sixty".