25798348800 has 1248 divisors, whose sum is σ = 114406645760. Its totient is φ = 5573836800.

The previous prime is 25798348781. The next prime is 25798348813. The reversal of 25798348800 is 884389752.

It is a happy number.

It is a super-2 number, since 2×25798348800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 599961579 + ... + 599961621.

Almost surely, 2^25798348800 is an apocalyptic number.

25798348800 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 25798348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57203322880).

25798348800 is an abundant number, since it is smaller than the sum of its proper divisors (88608296960).

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

25798348800 is a wasteful number, since it uses less digits than its factorization.

25798348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 25798348800 in words is "twenty-five billion, seven hundred ninety-eight million, three hundred forty-eight thousand, eight hundred".