25946426880 has 720 divisors, whose sum is σ = 101626276752. Its totient is φ = 6109593600.

The previous prime is 25946426827. The next prime is 25946426941. The reversal of 25946426880 is 8862464952.

25946426880 is a `hidden beast` number, since 2 + 594 + 6 + 42 + 6 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 114301327 + ... + 114301553.

Almost surely, 2^25946426880 is an apocalyptic number.

25946426880 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 25946426880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50813138376).

25946426880 is an abundant number, since it is smaller than the sum of its proper divisors (75679849872).

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

25946426880 is a wasteful number, since it uses less digits than its factorization.

25946426880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 25946426880 in words is "twenty-five billion, nine hundred forty-six million, four hundred twenty-six thousand, eight hundred eighty".