850756652928 has 512 divisors, whose sum is σ = 3153480960000. Its totient is φ = 224371316736.

The previous prime is 850756652849. The next prime is 850756652929. The reversal of 850756652928 is 829256657058.

850756652928 is a `hidden beast` number, since 8 + 50 + 7 + 56 + 6 + 529 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (850756652929) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15382701 + ... + 15437907.

It is an arithmetic number, because the mean of its divisors is an integer number (6159142500).

Almost surely, 2^850756652928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 850756652928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576740480000).

850756652928 is an abundant number, since it is smaller than the sum of its proper divisors (2302724307072).

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

850756652928 is a wasteful number, since it uses less digits than its factorization.

850756652928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55264 (or 55232 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 850756652928 in words is "eight hundred fifty billion, seven hundred fifty-six million, six hundred fifty-two thousand, nine hundred twenty-eight".