47185578880 has 256 divisors, whose sum is σ = 131680857600. Its totient is φ = 15986073600.

The previous prime is 47185578863. The next prime is 47185578887. The reversal of 47185578880 is 8887558174.

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47185578887) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8156469 + ... + 8162251.

It is an arithmetic number, because the mean of its divisors is an integer number (514378350).

Almost surely, 2^47185578880 is an apocalyptic number.

47185578880 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 47185578880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65840428800).

47185578880 is an abundant number, since it is smaller than the sum of its proper divisors (84495278720).

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

47185578880 is a wasteful number, since it uses less digits than its factorization.

47185578880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5893 (or 5881 counting only the distinct ones).

The product of its (nonzero) digits is 20070400, while the sum is 61.

The spelling of 47185578880 in words is "forty-seven billion, one hundred eighty-five million, five hundred seventy-eight thousand, eight hundred eighty".