5285677819968 has 2688 divisors, whose sum is σ = 22307310305280. Its totient is φ = 1199648931840.

The previous prime is 5285677819927. The next prime is 5285677819991. The reversal of 5285677819968 is 8699187765825.

5285677819968 is a `hidden beast` number, since 528 + 5 + 6 + 7 + 7 + 81 + 9 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 14170717830 + ... + 14170718202.

It is an arithmetic number, because the mean of its divisors is an integer number (8298850560).

Almost surely, 2^{5285677819968} 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 5285677819968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11153655152640).

5285677819968 is an abundant number, since it is smaller than the sum of its proper divisors (17021632485312).

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

5285677819968 is a wasteful number, since it uses less digits than its factorization.

5285677819968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 465 counting only the distinct ones).

The product of its digits is 3657830400, while the sum is 81.

The spelling of 5285677819968 in words is "five trillion, two hundred eighty-five billion, six hundred seventy-seven million, eight hundred nineteen thousand, nine hundred sixty-eight".