25667742960 has 240 divisors, whose sum is σ = 90914672160. Its totient is φ = 6471843840.

The previous prime is 25667742959. The next prime is 25667742983. The reversal of 25667742960 is 6924776652.

25667742960 is a `hidden beast` number, since 2 + 566 + 7 + 74 + 2 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 25667742897 and 25667742906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8439040 + ... + 8442080.

It is an arithmetic number, because the mean of its divisors is an integer number (378811134).

Almost surely, 2^25667742960 is an apocalyptic number.

25667742960 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 25667742960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45457336080).

25667742960 is an abundant number, since it is smaller than the sum of its proper divisors (65246929200).

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

25667742960 is a wasteful number, since it uses less digits than its factorization.

25667742960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3696 (or 3687 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 25667742960 in words is "twenty-five billion, six hundred sixty-seven million, seven hundred forty-two thousand, nine hundred sixty".