25983157200 has 960 divisors, whose sum is σ = 113411407872. Its totient is φ = 4910284800.

The previous prime is 25983157169. The next prime is 25983157219. The reversal of 25983157200 is 275138952.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 116516289 + ... + 116516511.

Almost surely, 2^25983157200 is an apocalyptic number.

25983157200 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 25983157200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56705703936).

25983157200 is an abundant number, since it is smaller than the sum of its proper divisors (87428250672).

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

25983157200 is a wasteful number, since it uses less digits than its factorization.

25983157200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 25983157200 in words is "twenty-five billion, nine hundred eighty-three million, one hundred fifty-seven thousand, two hundred".