201180379975680 has 624 divisors, whose sum is σ = 774613043421120. Its totient is φ = 44398409416704.

The previous prime is 201180379975583. The next prime is 201180379975717. The reversal of 201180379975680 is 86579973081102.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86154087 + ... + 88458393.

Almost surely, 2^{201180379975680} is an apocalyptic number.

201180379975680 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 201180379975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387306521710560).

201180379975680 is an abundant number, since it is smaller than the sum of its proper divisors (573432663445440).

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

201180379975680 is a wasteful number, since it uses less digits than its factorization.

201180379975680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304382 (or 2304353 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 66.

The spelling of 201180379975680 in words is "two hundred one trillion, one hundred eighty billion, three hundred seventy-nine million, nine hundred seventy-five thousand, six hundred eighty".