5285270167056 has 480 divisors, whose sum is σ = 17015733145600. Its totient is φ = 1588824357120.

The previous prime is 5285270167049. The next prime is 5285270167069. The reversal of 5285270167056 is 6507610725825.

5285270167056 is a `hidden beast` number, since 5 + 2 + 8 + 527 + 0 + 1 + 67 + 0 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5285270166993 and 5285270167011.

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 95 ways as a sum of consecutive naturals, for example, 537717150 + ... + 537726978.

Almost surely, 2^{5285270167056} 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 5285270167056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8507866572800).

5285270167056 is an abundant number, since it is smaller than the sum of its proper divisors (11730462978544).

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

5285270167056 is a wasteful number, since it uses less digits than its factorization.

5285270167056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10007 (or 9972 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 5285270167056 in words is "five trillion, two hundred eighty-five billion, two hundred seventy million, one hundred sixty-seven thousand, fifty-six".