25927770960 has 480 divisors, whose sum is σ = 107600613120. Its totient is φ = 5448425472.

The previous prime is 25927770959. The next prime is 25927770961. The reversal of 25927770960 is 6907772952.

It is an interprime number because it is at equal distance from previous prime (25927770959) and next prime (25927770961).

It is a junction number, because it is equal to n+sod(n) for n = 25927770897 and 25927770906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25927770961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20113996 + ... + 20115284.

It is an arithmetic number, because the mean of its divisors is an integer number (224167944).

Almost surely, 2^25927770960 is an apocalyptic number.

25927770960 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 25927770960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53800306560).

25927770960 is an abundant number, since it is smaller than the sum of its proper divisors (81672842160).

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

25927770960 is a wasteful number, since it uses less digits than its factorization.

25927770960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 25927770960 in words is "twenty-five billion, nine hundred twenty-seven million, seven hundred seventy thousand, nine hundred sixty".