47191727520 has 1008 divisors, whose sum is σ = 203470081920. Its totient is φ = 10288954368.

The previous prime is 47191727501. The next prime is 47191727537. The reversal of 47191727520 is 2572719174.

47191727520 is a `hidden beast` number, since 47 + 19 + 1 + 72 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 131453101 + ... + 131453459.

It is an arithmetic number, because the mean of its divisors is an integer number (201855240).

Almost surely, 2^47191727520 is an apocalyptic number.

47191727520 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 47191727520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101735040960).

47191727520 is an abundant number, since it is smaller than the sum of its proper divisors (156278354400).

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

47191727520 is a wasteful number, since it uses less digits than its factorization.

47191727520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 47191727520 in words is "forty-seven billion, one hundred ninety-one million, seven hundred twenty-seven thousand, five hundred twenty".