25656238080 has 1120 divisors, whose sum is σ = 108473808960. Its totient is φ = 5733089280.

The previous prime is 25656238063. The next prime is 25656238123. The reversal of 25656238080 is 8083265652.

25656238080 is a `hidden beast` number, since 2 + 5 + 6 + 562 + 3 + 8 + 0 + 80 = 666.

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 4440 × 1368 × 4224.

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, 693411822 + ... + 693411858.

Almost surely, 2^25656238080 is an apocalyptic number.

25656238080 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 25656238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54236904480).

25656238080 is an abundant number, since it is smaller than the sum of its proper divisors (82817570880).

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

25656238080 is a wasteful number, since it uses less digits than its factorization.

25656238080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 25656238080 in words is "twenty-five billion, six hundred fifty-six million, two hundred thirty-eight thousand, eighty".