23200974720 has 1536 divisors, whose sum is σ = 108503193600. Its totient is φ = 4629381120.

The previous prime is 23200974707. The next prime is 23200974737. The reversal of 23200974720 is 2747900232.

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 191 ways as a sum of consecutive naturals, for example, 437754214 + ... + 437754266.

It is an arithmetic number, because the mean of its divisors is an integer number (70640100).

Almost surely, 2^23200974720 is an apocalyptic number.

23200974720 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 23200974720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54251596800).

23200974720 is an abundant number, since it is smaller than the sum of its proper divisors (85302218880).

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

23200974720 is a wasteful number, since it uses less digits than its factorization.

23200974720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 23200974720 in words is "twenty-three billion, two hundred million, nine hundred seventy-four thousand, seven hundred twenty".