23260375082880 has 1536 divisors, whose sum is σ = 95009660928000. Its totient is φ = 5422767906816.

The previous prime is 23260375082863. The next prime is 23260375082887. The reversal of 23260375082880 is 8828057306232.

23260375082880 is a `hidden beast` number, since 2 + 3 + 2 + 6 + 0 + 37 + 508 + 28 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23260375082887) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6491869569 + ... + 6491873151.

It is an arithmetic number, because the mean of its divisors is an integer number (61855248000).

Almost surely, 2^{23260375082880} is an apocalyptic number.

23260375082880 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 23260375082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47504830464000).

23260375082880 is an abundant number, since it is smaller than the sum of its proper divisors (71749285845120).

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

23260375082880 is an equidigital number, since it uses as much as digits as its factorization.

23260375082880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3675 (or 3625 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 23260375082880 in words is "twenty-three trillion, two hundred sixty billion, three hundred seventy-five million, eighty-two thousand, eight hundred eighty".