851074398720 has 1440 divisors, whose sum is σ = 3734956697472. Its totient is φ = 177508122624.

The previous prime is 851074398673. The next prime is 851074398737. The reversal of 851074398720 is 27893470158.

It is a happy number.

851074398720 is a `hidden beast` number, since 8 + 5 + 107 + 439 + 87 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1511677159 + ... + 1511677721.

Almost surely, 2^851074398720 is an apocalyptic number.

851074398720 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 851074398720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867478348736).

851074398720 is an abundant number, since it is smaller than the sum of its proper divisors (2883882298752).

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

851074398720 is a wasteful number, since it uses less digits than its factorization.

851074398720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 851074398720 in words is "eight hundred fifty-one billion, seventy-four million, three hundred ninety-eight thousand, seven hundred twenty".