23250888000 has 560 divisors, whose sum is σ = 87768190224. Its totient is φ = 6074265600.

The previous prime is 23250887999. The next prime is 23250888019. The reversal of 23250888000 is 88805232.

It can be written as a sum of positive squares in 8 ways, for example, as 432972864 + 22817915136 = 20808^2 + 151056^2 .

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 79 ways as a sum of consecutive naturals, for example, 34343662 + ... + 34344338.

Almost surely, 2^23250888000 is an apocalyptic number.

23250888000 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 23250888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43884095112).

23250888000 is an abundant number, since it is smaller than the sum of its proper divisors (64517302224).

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

23250888000 is an equidigital number, since it uses as much as digits as its factorization.

23250888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 23250888000 in words is "twenty-three billion, two hundred fifty million, eight hundred eighty-eight thousand".