5285709031680 has 3456 divisors, whose sum is σ = 24993223557120. Its totient is φ = 999161856000.

The previous prime is 5285709031663. The next prime is 5285709031697. The reversal of 5285709031680 is 861309075825.

5285709031680 is a `hidden beast` number, since 5 + 2 + 8 + 570 + 9 + 0 + 3 + 1 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5285709031663) and next prime (5285709031697).

It is a super-3 number, since 3×5285709031680³ (a number of 39 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 383 ways as a sum of consecutive naturals, for example, 59389989076 + ... + 59389989164.

It is an arithmetic number, because the mean of its divisors is an integer number (7231835520).

Almost surely, 2^{5285709031680} 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 5285709031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12496611778560).

5285709031680 is an abundant number, since it is smaller than the sum of its proper divisors (19707514525440).

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

5285709031680 is a wasteful number, since it uses less digits than its factorization.

5285709031680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 5285709031680 in words is "five trillion, two hundred eighty-five billion, seven hundred nine million, thirty-one thousand, six hundred eighty".