25601896320 has 1152 divisors, whose sum is σ = 113019973920. Its totient is φ = 4882268160.

The previous prime is 25601896303. The next prime is 25601896361. The reversal of 25601896320 is 2369810652.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 147987754 + ... + 147987926.

Almost surely, 2^25601896320 is an apocalyptic number.

25601896320 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 25601896320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56509986960).

25601896320 is an abundant number, since it is smaller than the sum of its proper divisors (87418077600).

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

25601896320 is a wasteful number, since it uses less digits than its factorization.

25601896320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 25601896320 in words is "twenty-five billion, six hundred one million, eight hundred ninety-six thousand, three hundred twenty".