25440635300864 has 176 divisors, whose sum is σ = 58258235606592. Its totient is φ = 10877538926592.

The previous prime is 25440635300863. The next prime is 25440635300879. The reversal of 25440635300864 is 46800353604452.

It is not an unprimeable number, because it can be changed into a prime (25440635300863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6561936494 + ... + 6561940370.

Almost surely, 2^{25440635300864} 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 25440635300864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29129117803296).

25440635300864 is an abundant number, since it is smaller than the sum of its proper divisors (32817600305728).

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

25440635300864 is an equidigital number, since it uses as much as digits as its factorization.

25440635300864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5818 (or 5800 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 50.

The spelling of 25440635300864 in words is "twenty-five trillion, four hundred forty billion, six hundred thirty-five million, three hundred thousand, eight hundred sixty-four".