23525030400 has 240 divisors, whose sum is σ = 77912498400. Its totient is φ = 6257295360.

The previous prime is 23525030381. The next prime is 23525030401. The reversal of 23525030400 is 403052532.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (23525030401) 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, 28377186 + ... + 28378014.

It is an arithmetic number, because the mean of its divisors is an integer number (324635410).

Almost surely, 2^23525030400 is an apocalyptic number.

23525030400 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 23525030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38956249200).

23525030400 is an abundant number, since it is smaller than the sum of its proper divisors (54387468000).

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

23525030400 is an equidigital number, since it uses as much as digits as its factorization.

23525030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

Adding to 23525030400 its reverse (403052532), we get a palindrome (23928082932).

The spelling of 23525030400 in words is "twenty-three billion, five hundred twenty-five million, thirty thousand, four hundred".