851013216000 has 432 divisors, whose sum is σ = 3175637363808. Its totient is φ = 226934784000.

The previous prime is 851013215981. The next prime is 851013216029. The reversal of 851013216000 is 612310158.

851013216000 is a `hidden beast` number, since 8 + 51 + 0 + 1 + 3 + 2 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7721280 + ... + 7830720.

Almost surely, 2^851013216000 is an apocalyptic number.

851013216000 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 851013216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587818681904).

851013216000 is an abundant number, since it is smaller than the sum of its proper divisors (2324624147808).

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

851013216000 is an equidigital number, since it uses as much as digits as its factorization.

851013216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109487 (or 109451 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 851013216000 its reverse (612310158), we get a palindrome (851625526158).

The spelling of 851013216000 in words is "eight hundred fifty-one billion, thirteen million, two hundred sixteen thousand".