25053402400 has 72 divisors (see below), whose sum is σ = 65866385844. Its totient is φ = 9250483200.

The previous prime is 25053402391. The next prime is 25053402419. The reversal of 25053402400 is 420435052.

It can be written as a sum of positive squares in 6 ways, for example, as 8162761104 + 16890641296 = 90348^2 + 129964^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1194091 + ... + 1214890.

Almost surely, 2^25053402400 is an apocalyptic number.

25053402400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25053402400 is an abundant number, since it is smaller than the sum of its proper divisors (40812983444).

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

25053402400 is a wasteful number, since it uses less digits than its factorization.

25053402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409014 (or 2409001 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Adding to 25053402400 its reverse (420435052), we get a palindrome (25473837452).

The spelling of 25053402400 in words is "twenty-five billion, fifty-three million, four hundred two thousand, four hundred".