47881532080200 has 1152 divisors, whose sum is σ = 204280075238400. Its totient is φ = 9007725035520.

The previous prime is 47881532080171. The next prime is 47881532080243. The reversal of 47881532080200 is 208023518874.

It is a super-2 number, since 2×47881532080200² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 47881532080200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 299728747 + ... + 299888453.

It is an arithmetic number, because the mean of its divisors is an integer number (177326454200).

Almost surely, 2^{47881532080200} is an apocalyptic number.

47881532080200 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 47881532080200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102140037619200).

47881532080200 is an abundant number, since it is smaller than the sum of its proper divisors (156398543158200).

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

47881532080200 is a wasteful number, since it uses less digits than its factorization.

47881532080200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159799 (or 159773 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 47881532080200 in words is "forty-seven trillion, eight hundred eighty-one billion, five hundred thirty-two million, eighty thousand, two hundred".