47587782105460 has 48 divisors (see below), whose sum is σ = 100926066361680. Its totient is φ = 18846221542400.

The previous prime is 47587782105431. The next prime is 47587782105503. The reversal of 47587782105460 is 6450128778574.

It can be written as a sum of positive squares in 8 ways, for example, as 8918835819364 + 38668946286096 = 2986442^2 + 6218436^2 .

It is a junction number, because it is equal to n+sod(n) for n = 47587782105392 and 47587782105401.

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, 98450046 + ... + 98932234.

It is an arithmetic number, because the mean of its divisors is an integer number (2102626382535).

Almost surely, 2^{47587782105460} is an apocalyptic number.

It is an amenable number.

47587782105460 is an abundant number, since it is smaller than the sum of its proper divisors (53338284256220).

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

47587782105460 is a wasteful number, since it uses less digits than its factorization.

47587782105460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531156 (or 531154 counting only the distinct ones).

The product of its (nonzero) digits is 105369600, while the sum is 64.

The spelling of 47587782105460 in words is "forty-seven trillion, five hundred eighty-seven billion, seven hundred eighty-two million, one hundred five thousand, four hundred sixty".