23105856559104 has 1440 divisors, whose sum is σ = 79561814492160. Its totient is φ = 6667702272000.

The previous prime is 23105856559099. The next prime is 23105856559127. The reversal of 23105856559104 is 40195565850132.

23105856559104 is a `hidden beast` number, since 2 + 3 + 1 + 0 + 5 + 85 + 6 + 559 + 1 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 44179457787 + ... + 44179458309.

It is an arithmetic number, because the mean of its divisors is an integer number (55251260064).

Almost surely, 2^{23105856559104} is an apocalyptic number.

23105856559104 is a gapful number since it is divisible by the number (24) 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 23105856559104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39780907246080).

23105856559104 is an abundant number, since it is smaller than the sum of its proper divisors (56455957933056).

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

23105856559104 is a wasteful number, since it uses less digits than its factorization.

23105856559104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 54.

The spelling of 23105856559104 in words is "twenty-three trillion, one hundred five billion, eight hundred fifty-six million, five hundred fifty-nine thousand, one hundred four".