199025049600 has 540 divisors, whose sum is σ = 767955853756. Its totient is φ = 48978984960.

The previous prime is 199025049599. The next prime is 199025049617. The reversal of 199025049600 is 6940520991.

199025049600 is a `hidden beast` number, since 19 + 9 + 0 + 25 + 0 + 4 + 9 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 77720518656 + 121304530944 = 278784^2 + 348288^2 .

It is a super-2 number, since 2×199025049600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47921124 + ... + 47925276.

Almost surely, 2^199025049600 is an apocalyptic number.

199025049600 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 199025049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383977926878).

199025049600 is an abundant number, since it is smaller than the sum of its proper divisors (568930804156).

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

199025049600 is a wasteful number, since it uses less digits than its factorization.

199025049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4210 (or 4176 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 199025049600 in words is "one hundred ninety-nine billion, twenty-five million, forty-nine thousand, six hundred".