199701028800 has 2520 divisors, whose sum is σ = 957975091920. Its totient is φ = 40410316800.

The previous prime is 199701028783. The next prime is 199701028819. The reversal of 199701028800 is 8820107991.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 3384763171 + ... + 3384763229.

It is an arithmetic number, because the mean of its divisors is an integer number (380148846).

Almost surely, 2^199701028800 is an apocalyptic number.

199701028800 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 199701028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478987545960).

199701028800 is an abundant number, since it is smaller than the sum of its proper divisors (758274063120).

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

199701028800 is a wasteful number, since it uses less digits than its factorization.

199701028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The spelling of 199701028800 in words is "one hundred ninety-nine billion, seven hundred one million, twenty-eight thousand, eight hundred".