25540612320 has 288 divisors, whose sum is σ = 88049039904. Its totient is φ = 6201507840.

The previous prime is 25540612319. The next prime is 25540612367. The reversal of 25540612320 is 2321604552.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 7840132 + ... + 7843388.

It is an arithmetic number, because the mean of its divisors is an integer number (305725833).

Almost surely, 2^25540612320 is an apocalyptic number.

25540612320 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 25540612320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44024519952).

25540612320 is an abundant number, since it is smaller than the sum of its proper divisors (62508427584).

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

25540612320 is a wasteful number, since it uses less digits than its factorization.

25540612320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3354 (or 3315 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 25540612320 in words is "twenty-five billion, five hundred forty million, six hundred twelve thousand, three hundred twenty".