192986475601920 has 2688 divisors, whose sum is σ = 860048489744640. Its totient is φ = 36309376696320.

The previous prime is 192986475601901. The next prime is 192986475601963. The reversal of 192986475601920 is 29106574689291.

It is a tau number, because it is divible by the number of its divisors (2688).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 45634066366 + ... + 45634070594.

It is an arithmetic number, because the mean of its divisors is an integer number (319958515530).

Almost surely, 2^{192986475601920} is an apocalyptic number.

192986475601920 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 192986475601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430024244872320).

192986475601920 is an abundant number, since it is smaller than the sum of its proper divisors (667062014142720).

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

192986475601920 is a wasteful number, since it uses less digits than its factorization.

192986475601920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4354 (or 4323 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 69.

The spelling of 192986475601920 in words is "one hundred ninety-two trillion, nine hundred eighty-six billion, four hundred seventy-five million, six hundred one thousand, nine hundred twenty".