263796532160 has 224 divisors, whose sum is σ = 736281463680. Its totient is φ = 88134451200.

The previous prime is 263796532159. The next prime is 263796532213. The reversal of 263796532160 is 61235697362.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×263796532160² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 263796532099 and 263796532108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153280100 + ... + 153281820.

It is an arithmetic number, because the mean of its divisors is an integer number (3286970820).

Almost surely, 2^263796532160 is an apocalyptic number.

263796532160 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 263796532160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368140731840).

263796532160 is an abundant number, since it is smaller than the sum of its proper divisors (472484931520).

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

263796532160 is a wasteful number, since it uses less digits than its factorization.

263796532160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3455 (or 3445 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 50.

The spelling of 263796532160 in words is "two hundred sixty-three billion, seven hundred ninety-six million, five hundred thirty-two thousand, one hundred sixty".