25977772800 has 648 divisors, whose sum is σ = 111763957760. Its totient is φ = 5623603200.

The previous prime is 25977772783. The next prime is 25977772813. The reversal of 25977772800 is 827777952.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7659105 + ... + 7662495.

Almost surely, 2^25977772800 is an apocalyptic number.

25977772800 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 25977772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55881978880).

25977772800 is an abundant number, since it is smaller than the sum of its proper divisors (85786184960).

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

25977772800 is a wasteful number, since it uses less digits than its factorization.

25977772800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3449 (or 3427 counting only the distinct ones).

The product of its (nonzero) digits is 3457440, while the sum is 54.

The spelling of 25977772800 in words is "twenty-five billion, nine hundred seventy-seven million, seven hundred seventy-two thousand, eight hundred".