852851039040 has 1792 divisors, whose sum is σ = 4171232378880. Its totient is φ = 158257152000.

The previous prime is 852851039023. The next prime is 852851039087. The reversal of 852851039040 is 40930158258.

852851039040 is a `hidden beast` number, since 8 + 5 + 2 + 8 + 510 + 3 + 90 + 40 = 666.

It is a super-3 number, since 3×852851039040³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 268106250 + ... + 268109430.

It is an arithmetic number, because the mean of its divisors is an integer number (2327696640).

Almost surely, 2^852851039040 is an apocalyptic number.

852851039040 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 852851039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085616189440).

852851039040 is an abundant number, since it is smaller than the sum of its proper divisors (3318381339840).

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

852851039040 is a wasteful number, since it uses less digits than its factorization.

852851039040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3269 (or 3253 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 852851039040 in words is "eight hundred fifty-two billion, eight hundred fifty-one million, thirty-nine thousand, forty".