23775565000 has 160 divisors (see below), whose sum is σ = 61034212800. Its totient is φ = 8608160000.

The previous prime is 23775564973. The next prime is 23775565003. The reversal of 23775565000 is 56557732.

It is a hoax number, since the sum of its digits (40) 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 (40).

It is not an unprimeable number, because it can be changed into a prime (23775565003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14794197 + ... + 14795803.

It is an arithmetic number, because the mean of its divisors is an integer number (381463830).

Almost surely, 2^23775565000 is an apocalyptic number.

23775565000 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 23775565000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30517106400).

23775565000 is an abundant number, since it is smaller than the sum of its proper divisors (37258647800).

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

23775565000 is a wasteful number, since it uses less digits than its factorization.

23775565000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 220500, while the sum is 40.

The spelling of 23775565000 in words is "twenty-three billion, seven hundred seventy-five million, five hundred sixty-five thousand".