199978348953600 has 1800 divisors, whose sum is σ = 851120360921600. Its totient is φ = 45469131079680.

The previous prime is 199978348953569. The next prime is 199978348953631. The reversal of 199978348953600 is 6359843879991.

199978348953600 is a `hidden beast` number, since 1 + 9 + 9 + 9 + 7 + 83 + 489 + 53 + 6 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (199978348953569) and next prime (199978348953631).

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 199978348953600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 46216394637 + ... + 46216398963.

Almost surely, 2^{199978348953600} is an apocalyptic number.

199978348953600 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 199978348953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425560180460800).

199978348953600 is an abundant number, since it is smaller than the sum of its proper divisors (651142011968000).

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

199978348953600 is an equidigital number, since it uses as much as digits as its factorization.

199978348953600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4583 (or 4543 counting only the distinct ones).

The product of its (nonzero) digits is 3174474240, while the sum is 81.

The spelling of 199978348953600 in words is "one hundred ninety-nine trillion, nine hundred seventy-eight billion, three hundred forty-eight million, nine hundred fifty-three thousand, six hundred".