25705084402560 has 512 divisors, whose sum is σ = 84714873062400. Its totient is φ = 6624754532352.

The previous prime is 25705084402559. The next prime is 25705084402601. The reversal of 25705084402560 is 6520448050752.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8111416656 + ... + 8111419824.

It is an arithmetic number, because the mean of its divisors is an integer number (165458736450).

Almost surely, 2^{25705084402560} is an apocalyptic number.

25705084402560 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 25705084402560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42357436531200).

25705084402560 is an abundant number, since it is smaller than the sum of its proper divisors (59009788659840).

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

25705084402560 is a wasteful number, since it uses less digits than its factorization.

25705084402560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3958 (or 3946 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 48.

The spelling of 25705084402560 in words is "twenty-five trillion, seven hundred five billion, eighty-four million, four hundred two thousand, five hundred sixty".