47582585856 has 264 divisors, whose sum is σ = 155757376320. Its totient is φ = 13869563904.

The previous prime is 47582585839. The next prime is 47582585873. The reversal of 47582585856 is 65858528574.

It is a happy number.

47582585856 is a `hidden beast` number, since 47 + 5 + 8 + 2 + 5 + 8 + 585 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (47582585839) and next prime (47582585873).

It is a super-2 number, since 2×47582585856² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 47582585793 and 47582585802.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2265901 + ... + 2286803.

Almost surely, 2^47582585856 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 47582585856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77878688160).

47582585856 is an abundant number, since it is smaller than the sum of its proper divisors (108174790464).

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

47582585856 is a wasteful number, since it uses less digits than its factorization.

47582585856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20961 (or 20940 counting only the distinct ones).

The product of its digits is 107520000, while the sum is 63.

The spelling of 47582585856 in words is "forty-seven billion, five hundred eighty-two million, five hundred eighty-five thousand, eight hundred fifty-six".