25985655360 has 560 divisors, whose sum is σ = 106322920704. Its totient is φ = 5901299712.

The previous prime is 25985655359. The next prime is 25985655403. The reversal of 25985655360 is 6355658952.

25985655360 is a `hidden beast` number, since 2 + 5 + 9 + 85 + 6 + 553 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 25985655297 and 25985655306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35743317 + ... + 35744043.

Almost surely, 2^25985655360 is an apocalyptic number.

25985655360 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 25985655360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53161460352).

25985655360 is an abundant number, since it is smaller than the sum of its proper divisors (80337265344).

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

25985655360 is a wasteful number, since it uses less digits than its factorization.

25985655360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 9720000, while the sum is 54.

The spelling of 25985655360 in words is "twenty-five billion, nine hundred eighty-five million, six hundred fifty-five thousand, three hundred sixty".