47955220320 has 384 divisors, whose sum is σ = 178307039232. Its totient is φ = 10605772800.

The previous prime is 47955220213. The next prime is 47955220331. The reversal of 47955220320 is 2302255974.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 17494150 + ... + 17496890.

It is an arithmetic number, because the mean of its divisors is an integer number (464341248).

Almost surely, 2^47955220320 is an apocalyptic number.

47955220320 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 47955220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89153519616).

47955220320 is an abundant number, since it is smaller than the sum of its proper divisors (130351818912).

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

47955220320 is a wasteful number, since it uses less digits than its factorization.

47955220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 47955220320 in words is "forty-seven billion, nine hundred fifty-five million, two hundred twenty thousand, three hundred twenty".