48586774185600 has 768 divisors, whose sum is σ = 190036422604800. Its totient is φ = 10675265126400.

The previous prime is 48586774185577. The next prime is 48586774185637. The reversal of 48586774185600 is 658147768584.

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, 442322685 + ... + 442432515.

It is an arithmetic number, because the mean of its divisors is an integer number (247443258600).

Almost surely, 2^{48586774185600} is an apocalyptic number.

48586774185600 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 48586774185600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95018211302400).

48586774185600 is an abundant number, since it is smaller than the sum of its proper divisors (141449648419200).

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

48586774185600 is a wasteful number, since it uses less digits than its factorization.

48586774185600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110121 (or 110104 counting only the distinct ones).

The product of its (nonzero) digits is 361267200, while the sum is 69.

The spelling of 48586774185600 in words is "forty-eight trillion, five hundred eighty-six billion, seven hundred seventy-four million, one hundred eighty-five thousand, six hundred".