25716136347664 has 75 divisors (see below), whose sum is σ = 58127971238493. Its totient is φ = 11020775318784.

The previous prime is 25716136347653. The next prime is 25716136347689. The reversal of 25716136347664 is 46674363161752.

The square root of 25716136347664 is 5071108.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12357052867600 + 13359083480064 = 3515260^2 + 3655008^2 .

It is a super-3 number, since 3×25716136347664³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 993924232 + ... + 993950104.

Almost surely, 2^{25716136347664} is an apocalyptic number.

25716136347664 is the 5071108-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25716136347664

25716136347664 is an abundant number, since it is smaller than the sum of its proper divisors (32411834890829).

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

25716136347664 is an frugal number, since it uses more digits than its factorization.

25716136347664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51782 (or 25882 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 61.

The spelling of 25716136347664 in words is "twenty-five trillion, seven hundred sixteen billion, one hundred thirty-six million, three hundred forty-seven thousand, six hundred sixty-four".