47882223513600 has 1248 divisors, whose sum is σ = 186251419146240. Its totient is φ = 10627043819520.

The previous prime is 47882223513559. The next prime is 47882223513617. The reversal of 47882223513600 is 631532228874.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 10530506527 + ... + 10530511073.

Almost surely, 2^{47882223513600} is an apocalyptic number.

47882223513600 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 47882223513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93125709573120).

47882223513600 is an abundant number, since it is smaller than the sum of its proper divisors (138369195632640).

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

47882223513600 is a wasteful number, since it uses less digits than its factorization.

47882223513600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4733 (or 4706 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 47882223513600 in words is "forty-seven trillion, eight hundred eighty-two billion, two hundred twenty-three million, five hundred thirteen thousand, six hundred".