47513820480 has 224 divisors, whose sum is σ = 172545085440. Its totient is φ = 10851624960.

The previous prime is 47513820457. The next prime is 47513820481. The reversal of 47513820480 is 8402831574.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47513820481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12571231 + ... + 12575009.

It is an arithmetic number, because the mean of its divisors is an integer number (770290560).

Almost surely, 2^47513820480 is an apocalyptic number.

47513820480 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 47513820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86272542720).

47513820480 is an abundant number, since it is smaller than the sum of its proper divisors (125031264960).

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

47513820480 is a wasteful number, since it uses less digits than its factorization.

47513820480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5677 (or 5667 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 47513820480 in words is "forty-seven billion, five hundred thirteen million, eight hundred twenty thousand, four hundred eighty".