25312350400 has 84 divisors (see below), whose sum is σ = 63803494440. Its totient is φ = 9877964800.

The previous prime is 25312350383. The next prime is 25312350403. The reversal of 25312350400 is 405321352.

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 (25312350403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127330 + ... + 258529.

It is an arithmetic number, because the mean of its divisors is an integer number (759565410).

Almost surely, 2^25312350400 is an apocalyptic number.

25312350400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25312350400 is an abundant number, since it is smaller than the sum of its proper divisors (38491144040).

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

25312350400 is a wasteful number, since it uses less digits than its factorization.

25312350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385922 (or 385907 counting only the distinct ones).

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

Adding to 25312350400 its reverse (405321352), we get a palindrome (25717671752).

The spelling of 25312350400 in words is "twenty-five billion, three hundred twelve million, three hundred fifty thousand, four hundred".