23268288960 has 1344 divisors, whose sum is σ = 104700263040. Its totient is φ = 4830658560.

The previous prime is 23268288929. The next prime is 23268288971. The reversal of 23268288960 is 6988286232.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×23268288960² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 23268288897 and 23268288906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 381447330 + ... + 381447390.

Almost surely, 2^23268288960 is an apocalyptic number.

23268288960 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 23268288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52350131520).

23268288960 is an abundant number, since it is smaller than the sum of its proper divisors (81431974080).

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

23268288960 is a wasteful number, since it uses less digits than its factorization.

23268288960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 23268288960 in words is "twenty-three billion, two hundred sixty-eight million, two hundred eighty-eight thousand, nine hundred sixty".