25615228320 has 384 divisors, whose sum is σ = 98433377280. Its totient is φ = 6169789440.

The previous prime is 25615228319. The next prime is 25615228321. The reversal of 25615228320 is 2382251652.

It is a happy number.

25615228320 is a `hidden beast` number, since 2 + 5 + 615 + 2 + 2 + 8 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25615228319) and next prime (25615228321).

It is a super-2 number, since 2×25615228320² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (25615228321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7744107 + ... + 7747413.

It is an arithmetic number, because the mean of its divisors is an integer number (256336920).

Almost surely, 2^25615228320 is an apocalyptic number.

25615228320 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 25615228320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49216688640).

25615228320 is an abundant number, since it is smaller than the sum of its proper divisors (72818148960).

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

25615228320 is a wasteful number, since it uses less digits than its factorization.

25615228320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3505 (or 3491 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 25615228320 its reverse (2382251652), we get a palindrome (27997479972).

The spelling of 25615228320 in words is "twenty-five billion, six hundred fifteen million, two hundred twenty-eight thousand, three hundred twenty".