201779850120 has 128 divisors (see below), whose sum is σ = 614691866880. Its totient is φ = 52978688000.

The previous prime is 201779850089. The next prime is 201779850121. The reversal of 201779850120 is 21058977102.

It is not an unprimeable number, because it can be changed into a prime (201779850121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6468160 + ... + 6499280.

It is an arithmetic number, because the mean of its divisors is an integer number (4802280210).

Almost surely, 2^201779850120 is an apocalyptic number.

201779850120 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 201779850120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307345933440).

201779850120 is an abundant number, since it is smaller than the sum of its proper divisors (412912016760).

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

201779850120 is a wasteful number, since it uses less digits than its factorization.

201779850120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31967 (or 31963 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 42.

The spelling of 201779850120 in words is "two hundred one billion, seven hundred seventy-nine million, eight hundred fifty thousand, one hundred twenty".