47288371200 has 864 divisors, whose sum is σ = 186627430080. Its totient is φ = 10528358400.

The previous prime is 47288371189. The next prime is 47288371201. The reversal of 47288371200 is 217388274.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (47288371201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 459110349 + ... + 459110451.

It is an arithmetic number, because the mean of its divisors is an integer number (216003970).

Almost surely, 2^47288371200 is an apocalyptic number.

47288371200 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 47288371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93313715040).

47288371200 is an abundant number, since it is smaller than the sum of its proper divisors (139339058880).

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

47288371200 is a wasteful number, since it uses less digits than its factorization.

47288371200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The spelling of 47288371200 in words is "forty-seven billion, two hundred eighty-eight million, three hundred seventy-one thousand, two hundred".