23050195660800 has 4680 divisors, whose sum is σ = 114156291842208. Its totient is φ = 4484549836800.

The previous prime is 23050195660781. The next prime is 23050195660801. The reversal of 23050195660800 is 806659105032.

23050195660800 is a `hidden beast` number, since 2 + 3 + 0 + 5 + 0 + 1 + 9 + 566 + 0 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23050195660801) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 119431065504 + ... + 119431065696.

Almost surely, 2^{23050195660800} is an apocalyptic number.

23050195660800 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 23050195660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57078145921104).

23050195660800 is an abundant number, since it is smaller than the sum of its proper divisors (91106096181408).

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

23050195660800 is a wasteful number, since it uses less digits than its factorization.

23050195660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 23050195660800 in words is "twenty-three trillion, fifty billion, one hundred ninety-five million, six hundred sixty thousand, eight hundred".