201353056692480 has 2880 divisors, whose sum is σ = 940055968051200. Its totient is φ = 39903442698240.

The previous prime is 201353056692421. The next prime is 201353056692523. The reversal of 201353056692480 is 84296650353102.

It is a happy number.

201353056692480 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 5 + 30 + 566 + 9 + 2 + 48 + 0 = 666.

201353056692480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 319 ways as a sum of consecutive naturals, for example, 71427120511 + ... + 71427123329.

It is an arithmetic number, because the mean of its divisors is an integer number (326408322240).

Almost surely, 2^{201353056692480} is an apocalyptic number.

201353056692480 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 201353056692480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470027984025600).

201353056692480 is an abundant number, since it is smaller than the sum of its proper divisors (738702911358720).

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

201353056692480 is a wasteful number, since it uses less digits than its factorization.

201353056692480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3282 (or 3259 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 201353056692480 in words is "two hundred one trillion, three hundred fifty-three billion, fifty-six million, six hundred ninety-two thousand, four hundred eighty".