47578240317800 has 144 divisors (see below), whose sum is σ = 113654189728800. Its totient is φ = 18522750400000.

The previous prime is 47578240317799. The next prime is 47578240317827. The reversal of 47578240317800 is 871304287574.

47578240317800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 140698925 + ... + 141036675.

It is an arithmetic number, because the mean of its divisors is an integer number (789265206450).

Almost surely, 2^{47578240317800} is an apocalyptic number.

47578240317800 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 47578240317800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56827094864400).

47578240317800 is an abundant number, since it is smaller than the sum of its proper divisors (66075949411000).

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

47578240317800 is a wasteful number, since it uses less digits than its factorization.

47578240317800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338268 (or 338218 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 56.

The spelling of 47578240317800 in words is "forty-seven trillion, five hundred seventy-eight billion, two hundred forty million, three hundred seventeen thousand, eight hundred".