199749465600 has 240 divisors, whose sum is σ = 666279474432. Its totient is φ = 52748328960.

The previous prime is 199749465547. The next prime is 199749465647. The reversal of 199749465600 is 6564947991.

199749465600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (60).

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 23 ways as a sum of consecutive naturals, for example, 3929949 + ... + 3980451.

Almost surely, 2^199749465600 is an apocalyptic number.

199749465600 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 199749465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333139737216).

199749465600 is an abundant number, since it is smaller than the sum of its proper divisors (466530008832).

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

199749465600 is a wasteful number, since it uses less digits than its factorization.

199749465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50637 (or 50616 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 60.

The spelling of 199749465600 in words is "one hundred ninety-nine billion, seven hundred forty-nine million, four hundred sixty-five thousand, six hundred".