1997928146200 has 192 divisors, whose sum is σ = 5430842136000. Its totient is φ = 683269171200.

The previous prime is 1997928146189. The next prime is 1997928146213. The reversal of 1997928146200 is 26418297991.

It is a congruent number.

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, 27197520 + ... + 27270880.

It is an arithmetic number, because the mean of its divisors is an integer number (28285636125).

Almost surely, 2^{1997928146200} is an apocalyptic number.

1997928146200 is a gapful number since it is divisible by the number (10) 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 1997928146200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2715421068000).

1997928146200 is an abundant number, since it is smaller than the sum of its proper divisors (3432913989800).

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

1997928146200 is a wasteful number, since it uses less digits than its factorization.

1997928146200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73795 (or 73772 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 58.

The spelling of 1997928146200 in words is "one trillion, nine hundred ninety-seven billion, nine hundred twenty-eight million, one hundred forty-six thousand, two hundred".