25250052400 has 120 divisors (see below), whose sum is σ = 64463557104. Its totient is φ = 9471590400.

The previous prime is 25250052371. The next prime is 25250052407. The reversal of 25250052400 is 425005252.

It is a happy number.

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 (25250052407) 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, 1917840 + ... + 1930960.

Almost surely, 2^25250052400 is an apocalyptic number.

25250052400 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 25250052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32231778552).

25250052400 is an abundant number, since it is smaller than the sum of its proper divisors (39213504704).

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

25250052400 is a wasteful number, since it uses less digits than its factorization.

25250052400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13439 (or 13428 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

Adding to 25250052400 its reverse (425005252), we get a palindrome (25675057652).

The spelling of 25250052400 in words is "twenty-five billion, two hundred fifty million, fifty-two thousand, four hundred".