5056786560 has 256 divisors, whose sum is σ = 18506880000. Its totient is φ = 1150464000.

The previous prime is 5056786549. The next prime is 5056786571. The reversal of 5056786560 is 656876505.

It is an interprime number because it is at equal distance from previous prime (5056786549) and next prime (5056786571).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3372691 + ... + 3374189.

It is an arithmetic number, because the mean of its divisors is an integer number (72292500).

Almost surely, 2^5056786560 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 5056786560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9253440000).

5056786560 is an abundant number, since it is smaller than the sum of its proper divisors (13450093440).

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

5056786560 is a wasteful number, since it uses less digits than its factorization.

5056786560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 48.

The square root of 5056786560 is about 71111.0860555511. The cubic root of 5056786560 is about 1716.4251694509.

The spelling of 5056786560 in words is "five billion, fifty-six million, seven hundred eighty-six thousand, five hundred sixty".