47659165506 has 128 divisors (see below), whose sum is σ = 109486080000. Its totient is φ = 15359585472.

The previous prime is 47659165501. The next prime is 47659165523. The reversal of 47659165506 is 60556195674.

47659165506 is a `hidden beast` number, since 4 + 76 + 5 + 9 + 1 + 65 + 506 = 666.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (47659165501) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99496975 + ... + 99497453.

It is an arithmetic number, because the mean of its divisors is an integer number (855360000).

Almost surely, 2^47659165506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47659165506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54743040000).

47659165506 is an abundant number, since it is smaller than the sum of its proper divisors (61826914494).

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

47659165506 is a wasteful number, since it uses less digits than its factorization.

47659165506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 47659165506 in words is "forty-seven billion, six hundred fifty-nine million, one hundred sixty-five thousand, five hundred six".