23265126840960 has 512 divisors, whose sum is σ = 83946671078400. Its totient is φ = 6164459458560.

The previous prime is 23265126840953. The next prime is 23265126841013. The reversal of 23265126840960 is 6904862156232.

23265126840960 is a `hidden beast` number, since 2 + 3 + 2 + 6 + 512 + 68 + 4 + 0 + 9 + 60 = 666.

It is a super-2 number, since 2×23265126840960² (a number of 28 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 = 23265126840897 and 23265126840906.

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, 219696825 + ... + 219802695.

It is an arithmetic number, because the mean of its divisors is an integer number (163958341950).

Almost surely, 2^{23265126840960} is an apocalyptic number.

23265126840960 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 23265126840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41973335539200).

23265126840960 is an abundant number, since it is smaller than the sum of its proper divisors (60681544237440).

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

23265126840960 is an equidigital number, since it uses as much as digits as its factorization.

23265126840960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106068 (or 106038 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 23265126840960 in words is "twenty-three trillion, two hundred sixty-five billion, one hundred twenty-six million, eight hundred forty thousand, nine hundred sixty".