25949916000 has 384 divisors, whose sum is σ = 94944769920. Its totient is φ = 6884352000.

The previous prime is 25949915987. The next prime is 25949916023. The reversal of 25949916000 is 61994952.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26027502 + ... + 26028498.

It is an arithmetic number, because the mean of its divisors is an integer number (247252005).

Almost surely, 2^25949916000 is an apocalyptic number.

25949916000 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 25949916000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47472384960).

25949916000 is an abundant number, since it is smaller than the sum of its proper divisors (68994853920).

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

25949916000 is a wasteful number, since it uses less digits than its factorization.

25949916000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 25949916000 in words is "twenty-five billion, nine hundred forty-nine million, nine hundred sixteen thousand".