25298058240 has 704 divisors, whose sum is σ = 110707000320. Its totient is φ = 5334958080.

The previous prime is 25298058229. The next prime is 25298058263. The reversal of 25298058240 is 4285089252.

25298058240 is a `hidden beast` number, since 2 + 5 + 29 + 8 + 0 + 582 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 12578835 + ... + 12580845.

Almost surely, 2^25298058240 is an apocalyptic number.

25298058240 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 25298058240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55353500160).

25298058240 is an abundant number, since it is smaller than the sum of its proper divisors (85408942080).

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

25298058240 is a wasteful number, since it uses less digits than its factorization.

25298058240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 25298058240 in words is "twenty-five billion, two hundred ninety-eight million, fifty-eight thousand, two hundred forty".