850557753427200 has 3456 divisors, whose sum is σ = 3812217989099520. Its totient is φ = 161997992755200.

The previous prime is 850557753427189. The next prime is 850557753427211. The reversal of 850557753427200 is 2724357755058.

It is an interprime number because it is at equal distance from previous prime (850557753427189) and next prime (850557753427211).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 58525951134 + ... + 58525965666.

Almost surely, 2^{850557753427200} is an apocalyptic number.

850557753427200 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 850557753427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906108994549760).

850557753427200 is an abundant number, since it is smaller than the sum of its proper divisors (2961660235672320).

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

850557753427200 is a wasteful number, since it uses less digits than its factorization.

850557753427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14685 (or 14666 counting only the distinct ones).

The product of its (nonzero) digits is 82320000, while the sum is 60.

The spelling of 850557753427200 in words is "eight hundred fifty trillion, five hundred fifty-seven billion, seven hundred fifty-three million, four hundred twenty-seven thousand, two hundred".