25228840320 has 192 divisors, whose sum is σ = 87280820640. Its totient is φ = 6715146240.

The previous prime is 25228840211. The next prime is 25228840337. The reversal of 25228840320 is 2304882252.

25228840320 is a `hidden beast` number, since 2 + 5 + 228 + 8 + 403 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 3319725 + ... + 3327315.

Almost surely, 2^25228840320 is an apocalyptic number.

25228840320 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 25228840320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43640410320).

25228840320 is an abundant number, since it is smaller than the sum of its proper divisors (62051980320).

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

25228840320 is a wasteful number, since it uses less digits than its factorization.

25228840320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8193 (or 8178 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 25228840320 in words is "twenty-five billion, two hundred twenty-eight million, eight hundred forty thousand, three hundred twenty".