850977792000 has 896 divisors, whose sum is σ = 3596857505280. Its totient is φ = 194464972800.

The previous prime is 850977791981. The next prime is 850977792037. The reversal of 850977792000 is 297779058.

It is a tau number, because it is divible by the number of its divisors (896).

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

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, 193533802 + ... + 193538198.

Almost surely, 2^850977792000 is an apocalyptic number.

850977792000 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 850977792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798428752640).

850977792000 is an abundant number, since it is smaller than the sum of its proper divisors (2745879713280).

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

850977792000 is an equidigital number, since it uses as much as digits as its factorization.

850977792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4454 (or 4414 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The spelling of 850977792000 in words is "eight hundred fifty billion, nine hundred seventy-seven million, seven hundred ninety-two thousand".