199820536399800 has 384 divisors, whose sum is σ = 704328311174400. Its totient is φ = 52042489873920.

The previous prime is 199820536399769. The next prime is 199820536399807. The reversal of 199820536399800 is 8993635028991.

It is a happy number.

199820536399800 is a `hidden beast` number, since 1 + 9 + 9 + 8 + 2 + 0 + 536 + 3 + 9 + 9 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199820536399807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4721301439 + ... + 4721343761.

It is an arithmetic number, because the mean of its divisors is an integer number (1834188310350).

Almost surely, 2^{199820536399800} is an apocalyptic number.

199820536399800 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 199820536399800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352164155587200).

199820536399800 is an abundant number, since it is smaller than the sum of its proper divisors (504507774774600).

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

199820536399800 is a wasteful number, since it uses less digits than its factorization.

199820536399800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62724 (or 62709 counting only the distinct ones).

The product of its (nonzero) digits is 226748160, while the sum is 72.

The spelling of 199820536399800 in words is "one hundred ninety-nine trillion, eight hundred twenty billion, five hundred thirty-six million, three hundred ninety-nine thousand, eight hundred".