85848549827040 has 5760 divisors, whose sum is σ = 427326188889600. Its totient is φ = 16038854737920.

The previous prime is 85848549826967. The next prime is 85848549827069. The reversal of 85848549827040 is 4072894584858.

85848549827040 is a `hidden beast` number, since 8 + 5 + 8 + 4 + 8 + 549 + 8 + 2 + 70 + 4 + 0 = 666.

It is a super-2 number, since 2×85848549827040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 85848549827040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 787601374506 + ... + 787601374614.

It is an arithmetic number, because the mean of its divisors is an integer number (74188574460).

Almost surely, 2^{85848549827040} is an apocalyptic number.

85848549827040 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 85848549827040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213663094444800).

85848549827040 is an abundant number, since it is smaller than the sum of its proper divisors (341477639062560).

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

85848549827040 is a wasteful number, since it uses less digits than its factorization.

85848549827040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 825753600, while the sum is 72.

The spelling of 85848549827040 in words is "eighty-five trillion, eight hundred forty-eight billion, five hundred forty-nine million, eight hundred twenty-seven thousand, forty".