199875090104820 has 288 divisors, whose sum is σ = 697675181243040. Its totient is φ = 45881077432320.

The previous prime is 199875090104783. The next prime is 199875090104821. The reversal of 199875090104820 is 28401090578991.

199875090104820 is a `hidden beast` number, since 1 + 9 + 9 + 8 + 7 + 50 + 90 + 10 + 482 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1650597979536 + 198224492125284 = 1284756^2 + 14079222^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199875090104821) 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, 18712201 + ... + 27384240.

It is an arithmetic number, because the mean of its divisors is an integer number (2422483268205).

Almost surely, 2^{199875090104820} is an apocalyptic number.

199875090104820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199875090104820 is an abundant number, since it is smaller than the sum of its proper divisors (497800091138220).

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

199875090104820 is a wasteful number, since it uses less digits than its factorization.

199875090104820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46096595 (or 46096590 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 63.

The spelling of 199875090104820 in words is "one hundred ninety-nine trillion, eight hundred seventy-five billion, ninety million, one hundred four thousand, eight hundred twenty".