25856513280 has 864 divisors, whose sum is σ = 105033801600. Its totient is φ = 6003818496.

The previous prime is 25856513279. The next prime is 25856513281. The reversal of 25856513280 is 8231565852.

25856513280 is a `hidden beast` number, since 2 + 5 + 8 + 56 + 513 + 2 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (25856513279) and next prime (25856513281).

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25856513281) 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 95 ways as a sum of consecutive naturals, for example, 110972044 + ... + 110972276.

It is an arithmetic number, because the mean of its divisors is an integer number (121566900).

Almost surely, 2^25856513280 is an apocalyptic number.

25856513280 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 25856513280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52516900800).

25856513280 is an abundant number, since it is smaller than the sum of its proper divisors (79177288320).

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

25856513280 is a wasteful number, since it uses less digits than its factorization.

25856513280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 25856513280 in words is "twenty-five billion, eight hundred fifty-six million, five hundred thirteen thousand, two hundred eighty".