25583028240 has 320 divisors, whose sum is σ = 99759900672. Its totient is φ = 5268480000.

The previous prime is 25583028217. The next prime is 25583028253. The reversal of 25583028240 is 4282038552.

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, 2082115 + ... + 2094365.

Almost surely, 2^25583028240 is an apocalyptic number.

25583028240 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 25583028240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49879950336).

25583028240 is an abundant number, since it is smaller than the sum of its proper divisors (74176872432).

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

25583028240 is a wasteful number, since it uses less digits than its factorization.

25583028240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12398 (or 12392 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

The spelling of 25583028240 in words is "twenty-five billion, five hundred eighty-three million, twenty-eight thousand, two hundred forty".