23085388800 has 462 divisors, whose sum is σ = 85865824238. Its totient is φ = 6151127040.

The previous prime is 23085388793. The next prime is 23085388847. The reversal of 23085388800 is 888358032.

23085388800 is a `hidden beast` number, since 2 + 30 + 8 + 538 + 8 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3251736576 + 19833652224 = 57024^2 + 140832^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 18661782 + ... + 18663018.

Almost surely, 2^23085388800 is an apocalyptic number.

23085388800 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 23085388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42932912119).

23085388800 is an abundant number, since it is smaller than the sum of its proper divisors (62780435438).

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

23085388800 is an equidigital number, since it uses as much as digits as its factorization.

23085388800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 23085388800 in words is "twenty-three billion, eighty-five million, three hundred eighty-eight thousand, eight hundred".