25327345680 has 960 divisors, whose sum is σ = 110406266880. Its totient is φ = 5253838848.

The previous prime is 25327345609. The next prime is 25327345741. The reversal of 25327345680 is 8654372352.

25327345680 is a `hidden beast` number, since 2 + 53 + 2 + 7 + 34 + 568 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 182211051 + ... + 182211189.

It is an arithmetic number, because the mean of its divisors is an integer number (115006528).

Almost surely, 2^25327345680 is an apocalyptic number.

25327345680 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 25327345680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55203133440).

25327345680 is an abundant number, since it is smaller than the sum of its proper divisors (85078921200).

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

25327345680 is a wasteful number, since it uses less digits than its factorization.

25327345680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 25327345680 in words is "twenty-five billion, three hundred twenty-seven million, three hundred forty-five thousand, six hundred eighty".