23071910400 has 1800 divisors, whose sum is σ = 113092109856. Its totient is φ = 4512153600.

The previous prime is 23071910317. The next prime is 23071910401. The reversal of 23071910400 is 401917032.

23071910400 is a `hidden beast` number, since 230 + 7 + 19 + 10 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23071910401) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1357171192 + ... + 1357171208.

Almost surely, 2^23071910400 is an apocalyptic number.

23071910400 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 23071910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56546054928).

23071910400 is an abundant number, since it is smaller than the sum of its proper divisors (90020199456).

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

23071910400 is a wasteful number, since it uses less digits than its factorization.

23071910400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 23071910400 in words is "twenty-three billion, seventy-one million, nine hundred ten thousand, four hundred".