805725671099328 has 672 divisors, whose sum is σ = 2678780664548352. Its totient is φ = 226788566630400.

The previous prime is 805725671099299. The next prime is 805725671099381. The reversal of 805725671099328 is 823990176527508.

805725671099328 is a `hidden beast` number, since 8 + 0 + 57 + 2 + 567 + 1 + 0 + 9 + 9 + 3 + 2 + 8 = 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 (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 210867747658 + ... + 210867751478.

It is an arithmetic number, because the mean of its divisors is an integer number (3986280750816).

Almost surely, 2^{805725671099328} 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 805725671099328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339390332274176).

805725671099328 is an abundant number, since it is smaller than the sum of its proper divisors (1873054993449024).

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

805725671099328 is a wasteful number, since it uses less digits than its factorization.

805725671099328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5553 (or 5540 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 72.

The spelling of 805725671099328 in words is "eight hundred five trillion, seven hundred twenty-five billion, six hundred seventy-one million, ninety-nine thousand, three hundred twenty-eight".