25377792000 has 448 divisors, whose sum is σ = 92252279808. Its totient is φ = 6144000000.

The previous prime is 25377791983. The next prime is 25377792001. The reversal of 25377792000 is 29777352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25377792001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33791625 + ... + 33792375.

Almost surely, 2^25377792000 is an apocalyptic number.

25377792000 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 25377792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46126139904).

25377792000 is an abundant number, since it is smaller than the sum of its proper divisors (66874487808).

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

25377792000 is an equidigital number, since it uses as much as digits as its factorization.

25377792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 42.

The spelling of 25377792000 in words is "twenty-five billion, three hundred seventy-seven million, seven hundred ninety-two thousand".