25005122400 has 288 divisors, whose sum is σ = 84567399840. Its totient is φ = 6409912320.

The previous prime is 25005122341. The next prime is 25005122411. The reversal of 25005122400 is 422150052.

It is a happy number.

It is a super-2 number, since 2×25005122400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19278552 + ... + 19279848.

It is an arithmetic number, because the mean of its divisors is an integer number (293636805).

Almost surely, 2^25005122400 is an apocalyptic number.

25005122400 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 25005122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42283699920).

25005122400 is an abundant number, since it is smaller than the sum of its proper divisors (59562277440).

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

25005122400 is a wasteful number, since it uses less digits than its factorization.

25005122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

Adding to 25005122400 its reverse (422150052), we get a palindrome (25427272452).

The spelling of 25005122400 in words is "twenty-five billion, five million, one hundred twenty-two thousand, four hundred".