25640531306496 has 480 divisors, whose sum is σ = 79653397824000. Its totient is φ = 8210428821504.

The previous prime is 25640531306491. The next prime is 25640531306539. The reversal of 25640531306496 is 69460313504652.

25640531306496 is a `hidden beast` number, since 2 + 5 + 6 + 40 + 531 + 3 + 0 + 64 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (25640531306491) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 484864185 + ... + 484917063.

It is an arithmetic number, because the mean of its divisors is an integer number (165944578800).

Almost surely, 2^{25640531306496} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25640531306496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39826698912000).

25640531306496 is an abundant number, since it is smaller than the sum of its proper divisors (54012866517504).

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

25640531306496 is an equidigital number, since it uses as much as digits as its factorization.

25640531306496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53029 (or 53000 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 25640531306496 in words is "twenty-five trillion, six hundred forty billion, five hundred thirty-one million, three hundred six thousand, four hundred ninety-six".