23265432960 has 512 divisors, whose sum is σ = 97906682880. Its totient is φ = 4549509120.

The previous prime is 23265432959. The next prime is 23265432973. The reversal of 23265432960 is 6923456232.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2508652 + ... + 2517908.

It is an arithmetic number, because the mean of its divisors is an integer number (191223990).

Almost surely, 2^23265432960 is an apocalyptic number.

23265432960 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 23265432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48953341440).

23265432960 is an abundant number, since it is smaller than the sum of its proper divisors (74641249920).

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

23265432960 is a wasteful number, since it uses less digits than its factorization.

23265432960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9314 (or 9302 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 23265432960 in words is "twenty-three billion, two hundred sixty-five million, four hundred thirty-two thousand, nine hundred sixty".