47599231680 has 2016 divisors, whose sum is σ = 236095641600. Its totient is φ = 8539914240.

The previous prime is 47599231663. The next prime is 47599231709. The reversal of 47599231680 is 8613299574.

47599231680 is a `hidden beast` number, since 47 + 599 + 2 + 3 + 1 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 602521881 + ... + 602521959.

It is a 1-persistent number, because it is pandigital, but 2⋅47599231680 = 95198463360 is not.

Almost surely, 2^47599231680 is an apocalyptic number.

47599231680 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 47599231680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118047820800).

47599231680 is an abundant number, since it is smaller than the sum of its proper divisors (188496409920).

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

47599231680 is a wasteful number, since it uses less digits than its factorization.

47599231680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 47599231680 in words is "forty-seven billion, five hundred ninety-nine million, two hundred thirty-one thousand, six hundred eighty".