201291080760 has 1728 divisors, whose sum is σ = 908122531680. Its totient is φ = 38192394240.

The previous prime is 201291080759. The next prime is 201291080777. The reversal of 201291080760 is 67080192102.

201291080760 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 431 ways as a sum of consecutive naturals, for example, 3797944894 + ... + 3797944946.

Almost surely, 2^201291080760 is an apocalyptic number.

201291080760 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 201291080760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454061265840).

201291080760 is an abundant number, since it is smaller than the sum of its proper divisors (706831450920).

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

201291080760 is a wasteful number, since it uses less digits than its factorization.

201291080760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 201291080760 in words is "two hundred one billion, two hundred ninety-one million, eighty thousand, seven hundred sixty".