23086138320 has 480 divisors, whose sum is σ = 94094870400. Its totient is φ = 5185990656.

The previous prime is 23086138279. The next prime is 23086138337. The reversal of 23086138320 is 2383168032.

23086138320 is a `hidden beast` number, since 2 + 3 + 0 + 8 + 613 + 8 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6242712 + ... + 6246408.

It is an arithmetic number, because the mean of its divisors is an integer number (196030980).

Almost surely, 2^23086138320 is an apocalyptic number.

23086138320 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 23086138320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47047435200).

23086138320 is an abundant number, since it is smaller than the sum of its proper divisors (71008732080).

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

23086138320 is a wasteful number, since it uses less digits than its factorization.

23086138320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3792 (or 3773 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 23086138320 in words is "twenty-three billion, eighty-six million, one hundred thirty-eight thousand, three hundred twenty".