805249601856 has 672 divisors, whose sum is σ = 2809311120000. Its totient is φ = 225480278016.

The previous prime is 805249601729. The next prime is 805249601857. The reversal of 805249601856 is 658106942508.

805249601856 is a `hidden beast` number, since 8 + 0 + 5 + 24 + 9 + 601 + 8 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (805249601857) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1047138240 + ... + 1047139008.

It is an arithmetic number, because the mean of its divisors is an integer number (4180522500).

Almost surely, 2^805249601856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 805249601856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404655560000).

805249601856 is an abundant number, since it is smaller than the sum of its proper divisors (2004061518144).

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

805249601856 is a wasteful number, since it uses less digits than its factorization.

805249601856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 805249601856 in words is "eight hundred five billion, two hundred forty-nine million, six hundred one thousand, eight hundred fifty-six".