805806508416 has 2048 divisors, whose sum is σ = 3158507520000. Its totient is φ = 179477544960.

The previous prime is 805806508307. The next prime is 805806508469. The reversal of 805806508416 is 614805608508.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 17144819305 + ... + 17144819351.

It is an arithmetic number, because the mean of its divisors is an integer number (1542240000).

Almost surely, 2^805806508416 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 805806508416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579253760000).

805806508416 is an abundant number, since it is smaller than the sum of its proper divisors (2352701011584).

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

805806508416 is a wasteful number, since it uses less digits than its factorization.

805806508416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 51.

The spelling of 805806508416 in words is "eight hundred five billion, eight hundred six million, five hundred eight thousand, four hundred sixteen".