47695534560 has 288 divisors, whose sum is σ = 178720450272. Its totient is φ = 11970478080.

The previous prime is 47695534459. The next prime is 47695534571. The reversal of 47695534560 is 6543559674.

47695534560 is a `hidden beast` number, since 4 + 76 + 9 + 5 + 5 + 3 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 47695534497 and 47695534506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 624880 + ... + 697040.

It is an arithmetic number, because the mean of its divisors is an integer number (620557119).

Almost surely, 2^47695534560 is an apocalyptic number.

47695534560 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 47695534560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89360225136).

47695534560 is an abundant number, since it is smaller than the sum of its proper divisors (131024915712).

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

47695534560 is a wasteful number, since it uses less digits than its factorization.

47695534560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72208 (or 72188 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 47695534560 in words is "forty-seven billion, six hundred ninety-five million, five hundred thirty-four thousand, five hundred sixty".