25713224769680 has 160 divisors (see below), whose sum is σ = 69491377267200. Its totient is φ = 8666516275200.

The previous prime is 25713224769601. The next prime is 25713224769733. The reversal of 25713224769680 is 8696742231752.

It is a super-2 number, since 2×25713224769680² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6505205 + ... + 9682155.

It is an arithmetic number, because the mean of its divisors is an integer number (434321107920).

It is a 1-persistent number, because it is pandigital, but 2⋅25713224769680 = 51426449539360 is not.

Almost surely, 2^{25713224769680} is an apocalyptic number.

25713224769680 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 25713224769680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34745688633600).

25713224769680 is an abundant number, since it is smaller than the sum of its proper divisors (43778152497520).

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

25713224769680 is a wasteful number, since it uses less digits than its factorization.

25713224769680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3177217 (or 3177211 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 62.

The spelling of 25713224769680 in words is "twenty-five trillion, seven hundred thirteen billion, two hundred twenty-four million, seven hundred sixty-nine thousand, six hundred eighty".