23288821920 has 1440 divisors, whose sum is σ = 107136691200. Its totient is φ = 4755179520.

The previous prime is 23288821909. The next prime is 23288821939. The reversal of 23288821920 is 2912888232.

It is a tau number, because it is divible by the number of its divisors (1440).

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 239 ways as a sum of consecutive naturals, for example, 751252305 + ... + 751252335.

It is an arithmetic number, because the mean of its divisors is an integer number (74400480).

Almost surely, 2^23288821920 is an apocalyptic number.

23288821920 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 23288821920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53568345600).

23288821920 is an abundant number, since it is smaller than the sum of its proper divisors (83847869280).

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

23288821920 is a wasteful number, since it uses less digits than its factorization.

23288821920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 23288821920 in words is "twenty-three billion, two hundred eighty-eight million, eight hundred twenty-one thousand, nine hundred twenty".