23204532400 has 240 divisors, whose sum is σ = 65122403328. Its totient is φ = 7781760000.

The previous prime is 23204532391. The next prime is 23204532409. The reversal of 23204532400 is 423540232.

It is an interprime number because it is at equal distance from previous prime (23204532391) and next prime (23204532409).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (23204532409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30018414 + ... + 30019186.

Almost surely, 2^23204532400 is an apocalyptic number.

23204532400 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 23204532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32561201664).

23204532400 is an abundant number, since it is smaller than the sum of its proper divisors (41917870928).

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

23204532400 is a wasteful number, since it uses less digits than its factorization.

23204532400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The spelling of 23204532400 in words is "twenty-three billion, two hundred four million, five hundred thirty-two thousand, four hundred".