201893505119712 has 864 divisors, whose sum is σ = 710056295151840. Its totient is φ = 55645679738880.

The previous prime is 201893505119693. The next prime is 201893505119737. The reversal of 201893505119712 is 217911505398102.

201893505119712 is a `hidden beast` number, since 2 + 0 + 1 + 8 + 9 + 3 + 50 + 511 + 9 + 71 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 61987565188 + ... + 61987568444.

It is an arithmetic number, because the mean of its divisors is an integer number (821824415685).

Almost surely, 2^{201893505119712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201893505119712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355028147575920).

201893505119712 is an abundant number, since it is smaller than the sum of its proper divisors (508162790032128).

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

201893505119712 is a wasteful number, since it uses less digits than its factorization.

201893505119712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5089 (or 5039 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 54.

The spelling of 201893505119712 in words is "two hundred one trillion, eight hundred ninety-three billion, five hundred five million, one hundred nineteen thousand, seven hundred twelve".