199861026674400 has 3456 divisors, whose sum is σ = 922418881413120. Its totient is φ = 41109206261760.

The previous prime is 199861026674371. The next prime is 199861026674431. The reversal of 199861026674400 is 4476620168991.

199861026674400 is a `hidden beast` number, since 1 + 9 + 9 + 8 + 610 + 2 + 6 + 6 + 7 + 4 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 115995951939 + ... + 115995953661.

It is an arithmetic number, because the mean of its divisors is an integer number (266903611520).

Almost surely, 2^{199861026674400} is an apocalyptic number.

199861026674400 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 199861026674400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461209440706560).

199861026674400 is an abundant number, since it is smaller than the sum of its proper divisors (722557854738720).

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

199861026674400 is a wasteful number, since it uses less digits than its factorization.

199861026674400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940 (or 1915 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 199861026674400 in words is "one hundred ninety-nine trillion, eight hundred sixty-one billion, twenty-six million, six hundred seventy-four thousand, four hundred".