992141680200 has 192 divisors, whose sum is σ = 3361845988800. Its totient is φ = 240045849600.

The previous prime is 992141680003. The next prime is 992141680223. The reversal of 992141680200 is 2086141299.

It is a super-2 number, since 2×992141680200² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3211734 + ... + 3507066.

It is an arithmetic number, because the mean of its divisors is an integer number (17509614525).

Almost surely, 2^992141680200 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 992141680200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680922994400).

992141680200 is an abundant number, since it is smaller than the sum of its proper divisors (2369704308600).

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

992141680200 is a wasteful number, since it uses less digits than its factorization.

992141680200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295872 (or 295863 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 992141680200 in words is "nine hundred ninety-two billion, one hundred forty-one million, six hundred eighty thousand, two hundred".