525762820672320 has 1792 divisors, whose sum is σ = 2110493618601984. Its totient is φ = 107727667200000.

The previous prime is 525762820672301. The next prime is 525762820672339. The reversal of 525762820672320 is 23276028267525.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (525762820672301) and next prime (525762820672339).

It is a super-3 number, since 3×525762820672320³ (a number of 45 digits) contains 333 as substring.

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 255 ways as a sum of consecutive naturals, for example, 1372748878849 + ... + 1372748879231.

It is an arithmetic number, because the mean of its divisors is an integer number (1177730813952).

Almost surely, 2^{525762820672320} 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 525762820672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055246809300992).

525762820672320 is an abundant number, since it is smaller than the sum of its proper divisors (1584730797929664).

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

525762820672320 is a wasteful number, since it uses less digits than its factorization.

525762820672320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 57.

The spelling of 525762820672320 in words is "five hundred twenty-five trillion, seven hundred sixty-two billion, eight hundred twenty million, six hundred seventy-two thousand, three hundred twenty".