23075186400 has 432 divisors, whose sum is σ = 93328339104. Its totient is φ = 5255331840.

The previous prime is 23075186371. The next prime is 23075186401. The reversal of 23075186400 is 468157032.

23075186400 is a `hidden beast` number, since 2 + 3 + 0 + 7 + 5 + 1 + 8 + 640 + 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 not an unprimeable number, because it can be changed into a prime (23075186401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17790552 + ... + 17791848.

It is an arithmetic number, because the mean of its divisors is an integer number (216037822).

Almost surely, 2^23075186400 is an apocalyptic number.

23075186400 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 23075186400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46664169552).

23075186400 is an abundant number, since it is smaller than the sum of its proper divisors (70253152704).

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

23075186400 is a wasteful number, since it uses less digits than its factorization.

23075186400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 23075186400 in words is "twenty-three billion, seventy-five million, one hundred eighty-six thousand, four hundred".