852094416150 has 480 divisors, whose sum is σ = 2611332649728. Its totient is φ = 205070745600.

The previous prime is 852094416143. The next prime is 852094416191. The reversal of 852094416150 is 51614490258.

852094416150 is a `hidden beast` number, since 8 + 5 + 20 + 9 + 4 + 4 + 1 + 615 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 852094416096 and 852094416105.

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 241179784 + ... + 241183316.

Almost surely, 2^852094416150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852094416150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305666324864).

852094416150 is an abundant number, since it is smaller than the sum of its proper divisors (1759238233578).

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

852094416150 is a wasteful number, since it uses less digits than its factorization.

852094416150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3718 (or 3704 counting only the distinct ones).

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

The spelling of 852094416150 in words is "eight hundred fifty-two billion, ninety-four million, four hundred sixteen thousand, one hundred fifty".