25971382080 has 448 divisors, whose sum is σ = 105338880000. Its totient is φ = 5900691456.

The previous prime is 25971382049. The next prime is 25971382091. The reversal of 25971382080 is 8028317952.

It is a happy number.

25971382080 is a `hidden beast` number, since 2 + 597 + 1 + 38 + 20 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10824721 + ... + 10827119.

Almost surely, 2^25971382080 is an apocalyptic number.

25971382080 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 25971382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52669440000).

25971382080 is an abundant number, since it is smaller than the sum of its proper divisors (79367497920).

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

25971382080 is a wasteful number, since it uses less digits than its factorization.

25971382080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2611 (or 2595 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 25971382080 in words is "twenty-five billion, nine hundred seventy-one million, three hundred eighty-two thousand, eighty".