850157782812352 has 448 divisors, whose sum is σ = 2057203302400000. Its totient is φ = 340503795007488.

The previous prime is 850157782812313. The next prime is 850157782812397. The reversal of 850157782812352 is 253218287751058.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152658963424 + ... + 152658968992.

Almost surely, 2^{850157782812352} 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 850157782812352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028601651200000).

850157782812352 is an abundant number, since it is smaller than the sum of its proper divisors (1207045519587648).

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

850157782812352 is a wasteful number, since it uses less digits than its factorization.

850157782812352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6516 (or 6506 counting only the distinct ones).

The product of its (nonzero) digits is 75264000, while the sum is 64.

The spelling of 850157782812352 in words is "eight hundred fifty trillion, one hundred fifty-seven billion, seven hundred eighty-two million, eight hundred twelve thousand, three hundred fifty-two".