25468600320 has 456 divisors, whose sum is σ = 94220665344. Its totient is φ = 6341787648.

The previous prime is 25468600307. The next prime is 25468600357. The reversal of 25468600320 is 2300686452.

25468600320 is a `hidden beast` number, since 2 + 5 + 46 + 8 + 600 + 3 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200540097 + ... + 200540223.

Almost surely, 2^25468600320 is an apocalyptic number.

25468600320 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 25468600320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47110332672).

25468600320 is an abundant number, since it is smaller than the sum of its proper divisors (68752065024).

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

25468600320 is an equidigital number, since it uses as much as digits as its factorization.

25468600320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 25468600320 in words is "twenty-five billion, four hundred sixty-eight million, six hundred thousand, three hundred twenty".