25716096000 has 704 divisors, whose sum is σ = 108726159360. Its totient is φ = 5872435200.

The previous prime is 25716095989. The next prime is 25716096019. The reversal of 25716096000 is 69061752.

It is a super-2 number, since 2×25716096000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 24191469 + ... + 24192531.

Almost surely, 2^25716096000 is an apocalyptic number.

25716096000 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 25716096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54363079680).

25716096000 is an abundant number, since it is smaller than the sum of its proper divisors (83010063360).

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

25716096000 is a wasteful number, since it uses less digits than its factorization.

25716096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 25716096000 in words is "twenty-five billion, seven hundred sixteen million, ninety-six thousand".