199138920960 has 960 divisors, whose sum is σ = 795041685504. Its totient is φ = 41604710400.

The previous prime is 199138920931. The next prime is 199138920961. The reversal of 199138920960 is 69029831991.

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

It is a super-2 number, since 2×199138920960² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 199138920960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199138920961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 601627995 + ... + 601628325.

Almost surely, 2^199138920960 is an apocalyptic number.

199138920960 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 199138920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397520842752).

199138920960 is an abundant number, since it is smaller than the sum of its proper divisors (595902764544).

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

199138920960 is a wasteful number, since it uses less digits than its factorization.

199138920960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 57.

The spelling of 199138920960 in words is "one hundred ninety-nine billion, one hundred thirty-eight million, nine hundred twenty thousand, nine hundred sixty".