25900985460 has 576 divisors, whose sum is σ = 93878507520. Its totient is φ = 5295144960.

The previous prime is 25900985447. The next prime is 25900985479. The reversal of 25900985460 is 6458900952.

It is a super-2 number, since 2×25900985460² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 113104626 + ... + 113104854.

It is an arithmetic number, because the mean of its divisors is an integer number (162983520).

Almost surely, 2^25900985460 is an apocalyptic number.

25900985460 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 25900985460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46939253760).

25900985460 is an abundant number, since it is smaller than the sum of its proper divisors (67977522060).

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

25900985460 is a wasteful number, since it uses less digits than its factorization.

25900985460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The spelling of 25900985460 in words is "twenty-five billion, nine hundred million, nine hundred eighty-five thousand, four hundred sixty".