25651582320 has 480 divisors, whose sum is σ = 104873287680. Its totient is φ = 5126768640.

The previous prime is 25651582303. The next prime is 25651582321. The reversal of 25651582320 is 2328515652.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25651582321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2900305 + ... + 2909135.

It is an arithmetic number, because the mean of its divisors is an integer number (218486016).

Almost surely, 2^25651582320 is an apocalyptic number.

25651582320 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 25651582320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52436643840).

25651582320 is an abundant number, since it is smaller than the sum of its proper divisors (79221705360).

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

25651582320 is a wasteful number, since it uses less digits than its factorization.

25651582320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8893 (or 8880 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The spelling of 25651582320 in words is "twenty-five billion, six hundred fifty-one million, five hundred eighty-two thousand, three hundred twenty".