848799544320000 has 8960 divisors, whose sum is σ = 4230374746752000. Its totient is φ = 168552824832000.

The previous prime is 848799544319989. The next prime is 848799544320053. The reversal of 848799544320000 is 23445997848.

848799544320000 is a `hidden beast` number, since 8 + 4 + 87 + 9 + 9 + 544 + 3 + 2 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8960).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 848799544320000.

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 639 ways as a sum of consecutive naturals, for example, 49929384959992 + ... + 49929384960008.

It is an arithmetic number, because the mean of its divisors is an integer number (472140038700).

Almost surely, 2^{848799544320000} is an apocalyptic number.

848799544320000 is a gapful number since it is divisible by the number (80) 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 848799544320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115187373376000).

848799544320000 is an abundant number, since it is smaller than the sum of its proper divisors (3381575202432000).

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

848799544320000 is an frugal number, since it uses more digits than its factorization.

848799544320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 848799544320000 in words is "eight hundred forty-eight trillion, seven hundred ninety-nine billion, five hundred forty-four million, three hundred twenty thousand".