47582718275840 has 288 divisors, whose sum is σ = 132190864517376. Its totient is φ = 16238231060480.

The previous prime is 47582718275821. The next prime is 47582718275843. The reversal of 47582718275840 is 4857281728574.

It is not an unprimeable number, because it can be changed into a prime (47582718275843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15777362 + ... + 18549678.

It is an arithmetic number, because the mean of its divisors is an integer number (458996057352).

Almost surely, 2^{47582718275840} is an apocalyptic number.

47582718275840 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 47582718275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66095432258688).

47582718275840 is an abundant number, since it is smaller than the sum of its proper divisors (84608146241536).

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

47582718275840 is a wasteful number, since it uses less digits than its factorization.

47582718275840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2772425 (or 2772411 counting only the distinct ones).

The product of its (nonzero) digits is 280985600, while the sum is 68.

The spelling of 47582718275840 in words is "forty-seven trillion, five hundred eighty-two billion, seven hundred eighteen million, two hundred seventy-five thousand, eight hundred forty".