23512530400 has 144 divisors (see below), whose sum is σ = 61274828160. Its totient is φ = 8784115200.

The previous prime is 23512530359. The next prime is 23512530401. The reversal of 23512530400 is 403521532.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23512530401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1068307 + ... + 1090093.

It is an arithmetic number, because the mean of its divisors is an integer number (425519640).

Almost surely, 2^23512530400 is an apocalyptic number.

23512530400 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 23512530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30637414080).

23512530400 is an abundant number, since it is smaller than the sum of its proper divisors (37762297760).

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

23512530400 is a wasteful number, since it uses less digits than its factorization.

23512530400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21897 (or 21884 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The spelling of 23512530400 in words is "twenty-three billion, five hundred twelve million, five hundred thirty thousand, four hundred".