25508198400 has 288 divisors, whose sum is σ = 85550774400. Its totient is φ = 6703513600.

The previous prime is 25508198389. The next prime is 25508198411. The reversal of 25508198400 is 489180552.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (25508198389) and next prime (25508198411).

It is a super-2 number, since 2×25508198400² (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 23 ways as a sum of consecutive naturals, for example, 10904431 + ... + 10906769.

It is an arithmetic number, because the mean of its divisors is an integer number (297051300).

Almost surely, 2^25508198400 is an apocalyptic number.

25508198400 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 25508198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42775387200).

25508198400 is an abundant number, since it is smaller than the sum of its proper divisors (60042576000).

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

25508198400 is a wasteful number, since it uses less digits than its factorization.

25508198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2445 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The spelling of 25508198400 in words is "twenty-five billion, five hundred eight million, one hundred ninety-eight thousand, four hundred".