47933458560 has 1024 divisors, whose sum is σ = 192745728000. Its totient is φ = 11179524096.

The previous prime is 47933458511. The next prime is 47933458561. The reversal of 47933458560 is 6585433974.

47933458560 is a `hidden beast` number, since 4 + 7 + 9 + 33 + 45 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 47933458497 and 47933458506.

It is not an unprimeable number, because it can be changed into a prime (47933458561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 606752601 + ... + 606752679.

It is an arithmetic number, because the mean of its divisors is an integer number (188228250).

Almost surely, 2^47933458560 is an apocalyptic number.

47933458560 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 47933458560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96372864000).

47933458560 is an abundant number, since it is smaller than the sum of its proper divisors (144812269440).

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

47933458560 is a wasteful number, since it uses less digits than its factorization.

47933458560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 47933458560 in words is "forty-seven billion, nine hundred thirty-three million, four hundred fifty-eight thousand, five hundred sixty".