851856445440 has 3328 divisors, whose sum is σ = 4333025894400. Its totient is φ = 154793410560.

The previous prime is 851856445397. The next prime is 851856445463. The reversal of 851856445440 is 44544658158.

851856445440 is a `hidden beast` number, since 8 + 5 + 1 + 8 + 56 + 44 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3328).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 44834549751 + ... + 44834549769.

Almost surely, 2^851856445440 is an apocalyptic number.

851856445440 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 851856445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2166512947200).

851856445440 is an abundant number, since it is smaller than the sum of its proper divisors (3481169448960).

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

851856445440 is a wasteful number, since it uses less digits than its factorization.

851856445440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 12288000, while the sum is 54.

The spelling of 851856445440 in words is "eight hundred fifty-one billion, eight hundred fifty-six million, four hundred forty-five thousand, four hundred forty".