263315525760 has 960 divisors, whose sum is σ = 1141686342720. Its totient is φ = 57556832256.

The previous prime is 263315525719. The next prime is 263315525773. The reversal of 263315525760 is 67525513362.

263315525760 is a `hidden beast` number, since 2 + 6 + 3 + 31 + 552 + 5 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×263315525760² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 58421427 + ... + 58425933.

It is an arithmetic number, because the mean of its divisors is an integer number (1189256607).

Almost surely, 2^263315525760 is an apocalyptic number.

263315525760 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 263315525760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570843171360).

263315525760 is an abundant number, since it is smaller than the sum of its proper divisors (878370816960).

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

263315525760 is a wasteful number, since it uses less digits than its factorization.

263315525760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4575 (or 4547 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 263315525760 in words is "two hundred sixty-three billion, three hundred fifteen million, five hundred twenty-five thousand, seven hundred sixty".