23105451600 has 1440 divisors, whose sum is σ = 108803036160. Its totient is φ = 4396032000.

The previous prime is 23105451571. The next prime is 23105451623. The reversal of 23105451600 is 615450132.

23105451600 is a `hidden beast` number, since 2 + 3 + 1 + 0 + 5 + 4 + 51 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 215938747 + ... + 215938853.

It is an arithmetic number, because the mean of its divisors is an integer number (75557664).

Almost surely, 2^23105451600 is an apocalyptic number.

23105451600 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 23105451600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54401518080).

23105451600 is an abundant number, since it is smaller than the sum of its proper divisors (85697584560).

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

23105451600 is a wasteful number, since it uses less digits than its factorization.

23105451600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 23105451600 in words is "twenty-three billion, one hundred five million, four hundred fifty-one thousand, six hundred".