800529660000 has 2160 divisors, whose sum is σ = 3701360622960. Its totient is φ = 162570240000.

The previous prime is 800529659999. The next prime is 800529660011. The reversal of 800529660000 is 66925008.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 359 ways as a sum of consecutive naturals, for example, 2848859860 + ... + 2848860140.

It is an arithmetic number, because the mean of its divisors is an integer number (1713592881).

Almost surely, 2^800529660000 is an apocalyptic number.

800529660000 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 800529660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850680311480).

800529660000 is an abundant number, since it is smaller than the sum of its proper divisors (2900830962960).

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

800529660000 is a wasteful number, since it uses less digits than its factorization.

800529660000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 800529660000 in words is "eight hundred billion, five hundred twenty-nine million, six hundred sixty thousand".