201279048320 has 192 divisors, whose sum is σ = 560657392200. Its totient is φ = 68897267712.

The previous prime is 201279048317. The next prime is 201279048359. The reversal of 201279048320 is 23840972102.

It can be written as a sum of positive squares in 4 ways, for example, as 175789009984 + 25490038336 = 419272^2 + 159656^2 .

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 23 ways as a sum of consecutive naturals, for example, 20473166 + ... + 20482994.

Almost surely, 2^201279048320 is an apocalyptic number.

201279048320 is a gapful number since it is divisible by the number (20) 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 201279048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280328696100).

201279048320 is an abundant number, since it is smaller than the sum of its proper divisors (359378343880).

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

201279048320 is an equidigital number, since it uses as much as digits as its factorization.

201279048320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10515 (or 10496 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The spelling of 201279048320 in words is "two hundred one billion, two hundred seventy-nine million, forty-eight thousand, three hundred twenty".