47586775530560 has 224 divisors, whose sum is σ = 130338554347008. Its totient is φ = 16210415370240.

The previous prime is 47586775530491. The next prime is 47586775530571. The reversal of 47586775530560 is 6503557768574.

47586775530560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 859234070 + ... + 859289450.

It is an arithmetic number, because the mean of its divisors is an integer number (581868546192).

Almost surely, 2^{47586775530560} is an apocalyptic number.

47586775530560 is a gapful number since it is divisible by the number (40) 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 47586775530560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65169277173504).

47586775530560 is an abundant number, since it is smaller than the sum of its proper divisors (82751778816448).

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

47586775530560 is a wasteful number, since it uses less digits than its factorization.

47586775530560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57869 (or 57859 counting only the distinct ones).

The product of its (nonzero) digits is 740880000, while the sum is 68.

The spelling of 47586775530560 in words is "forty-seven trillion, five hundred eighty-six billion, seven hundred seventy-five million, five hundred thirty thousand, five hundred sixty".