25686662400 has 972 divisors, whose sum is σ = 112686537600. Its totient is φ = 5550612480.

The previous prime is 25686662399. The next prime is 25686662413. The reversal of 25686662400 is 426668652.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 53625361 + ... + 53625839.

Almost surely, 2^25686662400 is an apocalyptic number.

25686662400 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 25686662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56343268800).

25686662400 is an abundant number, since it is smaller than the sum of its proper divisors (86999875200).

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

25686662400 is a wasteful number, since it uses less digits than its factorization.

25686662400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 25686662400 in words is "twenty-five billion, six hundred eighty-six million, six hundred sixty-two thousand, four hundred".