4882581185600 has 84 divisors (see below), whose sum is σ = 12024110644644. Its totient is φ = 1951421614080.

The previous prime is 4882581185591. The next prime is 4882581185611. The reversal of 4882581185600 is 65811852884.

It can be written as a sum of positive squares in 6 ways, for example, as 13285789696 + 4869295395904 = 115264^2 + 2206648^2 .

It is a super-3 number, since 3×4882581185600³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 682922 + ... + 3198678.

It is an arithmetic number, because the mean of its divisors is an integer number (143144174341).

Almost surely, 2^{4882581185600} is an apocalyptic number.

4882581185600 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 4882581185600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6012055322322).

4882581185600 is an abundant number, since it is smaller than the sum of its proper divisors (7141529459044).

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

4882581185600 is a wasteful number, since it uses less digits than its factorization.

4882581185600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2516992 (or 2516977 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 56.

The spelling of 4882581185600 in words is "four trillion, eight hundred eighty-two billion, five hundred eighty-one million, one hundred eighty-five thousand, six hundred".