199079798400 has 576 divisors, whose sum is σ = 815082652800. Its totient is φ = 45322444800.

The previous prime is 199079798339. The next prime is 199079798417. The reversal of 199079798400 is 4897970991.

199079798400 is a `hidden beast` number, since 1 + 9 + 90 + 79 + 79 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×199079798400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54228565 + ... + 54232235.

It is an arithmetic number, because the mean of its divisors is an integer number (1415074050).

Almost surely, 2^199079798400 is an apocalyptic number.

199079798400 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 199079798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407541326400).

199079798400 is an abundant number, since it is smaller than the sum of its proper divisors (616002854400).

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

199079798400 is a wasteful number, since it uses less digits than its factorization.

199079798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3977 (or 3957 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 63.

The spelling of 199079798400 in words is "one hundred ninety-nine billion, seventy-nine million, seven hundred ninety-eight thousand, four hundred".