7725625216260 has 144 divisors (see below), whose sum is σ = 25166207183040. Its totient is φ = 1765664759040.

The previous prime is 7725625216237. The next prime is 7725625216297. The reversal of 7725625216260 is 626125265277.

It is a super-2 number, since 2×7725625216260² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27765106 + ... + 28041974.

It is an arithmetic number, because the mean of its divisors is an integer number (174765327660).

Almost surely, 2^{7725625216260} is an apocalyptic number.

7725625216260 is a gapful number since it is divisible by the number (70) 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 7725625216260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12583103591520).

7725625216260 is an abundant number, since it is smaller than the sum of its proper divisors (17440581966780).

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

7725625216260 is a wasteful number, since it uses less digits than its factorization.

7725625216260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286386 (or 286377 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 51.

The spelling of 7725625216260 in words is "seven trillion, seven hundred twenty-five billion, six hundred twenty-five million, two hundred sixteen thousand, two hundred sixty".