5757828288060 has 48 divisors (see below), whose sum is σ = 16143617742336. Its totient is φ = 1533354349632.

The previous prime is 5757828287987. The next prime is 5757828288061. The reversal of 5757828288060 is 608828287575.

It is a super-3 number, since 3×5757828288060³ (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5757828287982 and 5757828288000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5757828288061) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 64534024 + ... + 64623183.

It is an arithmetic number, because the mean of its divisors is an integer number (336325369632).

Almost surely, 2^{5757828288060} is an apocalyptic number.

It is an amenable number.

5757828288060 is an abundant number, since it is smaller than the sum of its proper divisors (10385789454276).

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

5757828288060 is a wasteful number, since it uses less digits than its factorization.

5757828288060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129157962 (or 129157960 counting only the distinct ones).

The product of its (nonzero) digits is 120422400, while the sum is 66.

The spelling of 5757828288060 in words is "five trillion, seven hundred fifty-seven billion, eight hundred twenty-eight million, two hundred eighty-eight thousand, sixty".