25649956320 has 384 divisors, whose sum is σ = 88038752256. Its totient is φ = 6253019136.

The previous prime is 25649956301. The next prime is 25649956333. The reversal of 25649956320 is 2365994652.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54924727 + ... + 54925193.

It is an arithmetic number, because the mean of its divisors is an integer number (229267584).

Almost surely, 2^25649956320 is an apocalyptic number.

25649956320 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 25649956320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44019376128).

25649956320 is an abundant number, since it is smaller than the sum of its proper divisors (62388795936).

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

25649956320 is a wasteful number, since it uses less digits than its factorization.

25649956320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 51.

The spelling of 25649956320 in words is "twenty-five billion, six hundred forty-nine million, nine hundred fifty-six thousand, three hundred twenty".