199180945920 has 960 divisors, whose sum is σ = 764107344000. Its totient is φ = 44053954560.

The previous prime is 199180945919. The next prime is 199180945979. The reversal of 199180945920 is 29549081991.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 512033086 + ... + 512033474.

It is an arithmetic number, because the mean of its divisors is an integer number (795945150).

Almost surely, 2^199180945920 is an apocalyptic number.

199180945920 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 199180945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382053672000).

199180945920 is an abundant number, since it is smaller than the sum of its proper divisors (564926398080).

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

199180945920 is a wasteful number, since it uses less digits than its factorization.

199180945920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 57.

The spelling of 199180945920 in words is "one hundred ninety-nine billion, one hundred eighty million, nine hundred forty-five thousand, nine hundred twenty".