201779601120 has 384 divisors, whose sum is σ = 732602102400. Its totient is φ = 51808813056.

The previous prime is 201779601061. The next prime is 201779601143. The reversal of 201779601120 is 21106977102.

It is a happy number.

201779601120 is a `hidden beast` number, since 20 + 1 + 7 + 7 + 9 + 601 + 1 + 20 = 666.

201779601120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 49734132 + ... + 49738188.

It is an arithmetic number, because the mean of its divisors is an integer number (1907817975).

Almost surely, 2^201779601120 is an apocalyptic number.

201779601120 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 201779601120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366301051200).

201779601120 is an abundant number, since it is smaller than the sum of its proper divisors (530822501280).

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

201779601120 is a wasteful number, since it uses less digits than its factorization.

201779601120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4507 (or 4493 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 201779601120 in words is "two hundred one billion, seven hundred seventy-nine million, six hundred one thousand, one hundred twenty".