806289120000 has 2160 divisors, whose sum is σ = 3745261507680. Its totient is φ = 169537536000.

The previous prime is 806289119927. The next prime is 806289120023. The reversal of 806289120000 is 21982608.

806289120000 is a `hidden beast` number, since 8 + 0 + 628 + 9 + 1 + 20 + 0 + 0 + 0 = 666.

806289120000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2751839854 + ... + 2751840146.

Almost surely, 2^806289120000 is an apocalyptic number.

806289120000 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 806289120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872630753840).

806289120000 is an abundant number, since it is smaller than the sum of its proper divisors (2938972387680).

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

806289120000 is a wasteful number, since it uses less digits than its factorization.

806289120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 806289120000 in words is "eight hundred six billion, two hundred eighty-nine million, one hundred twenty thousand".