5285917056 has 128 divisors (see below), whose sum is σ = 16273128960. Its totient is φ = 1488936960.

The previous prime is 5285917037. The next prime is 5285917061. The reversal of 5285917056 is 6507195825.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 5285916996 and 5285917014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177000 + ... + 204696.

It is an arithmetic number, because the mean of its divisors is an integer number (127133820).

Almost surely, 2^5285917056 is an apocalyptic number.

5285917056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5285917056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8136564480).

5285917056 is an abundant number, since it is smaller than the sum of its proper divisors (10987211904).

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

5285917056 is a wasteful number, since it uses less digits than its factorization.

5285917056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27792 (or 27780 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 48.

The square root of 5285917056 is about 72704.3124993284. The cubic root of 5285917056 is about 1741.9677672059.

The spelling of 5285917056 in words is "five billion, two hundred eighty-five million, nine hundred seventeen thousand, fifty-six".