25265986560 has 220 divisors, whose sum is σ = 90540496728. Its totient is φ = 6737485824.

The previous prime is 25265986547. The next prime is 25265986609. The reversal of 25265986560 is 6568956252.

25265986560 is a `hidden beast` number, since 2 + 5 + 26 + 59 + 8 + 6 + 560 = 666.

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 = 25265986497 and 25265986506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 384259 + ... + 445181.

Almost surely, 2^25265986560 is an apocalyptic number.

25265986560 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 25265986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45270248364).

25265986560 is an abundant number, since it is smaller than the sum of its proper divisors (65274510168).

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

25265986560 is an equidigital number, since it uses as much as digits as its factorization.

25265986560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60960 (or 60933 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 25265986560 in words is "twenty-five billion, two hundred sixty-five million, nine hundred eighty-six thousand, five hundred sixty".