201681051586560 has 4160 divisors, whose sum is σ = 932991362924544. Its totient is φ = 40532941209600.

The previous prime is 201681051586559. The next prime is 201681051586601. The reversal of 201681051586560 is 65685150186102.

201681051586560 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 8 + 1 + 0 + 5 + 1 + 586 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4160).

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

It is a junction number, because it is equal to n+sod(n) for n = 201681051586497 and 201681051586506.

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, 332258733777 + ... + 332258734383.

Almost surely, 2^{201681051586560} is an apocalyptic number.

201681051586560 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 201681051586560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466495681462272).

201681051586560 is an abundant number, since it is smaller than the sum of its proper divisors (731310311337984).

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

201681051586560 is a wasteful number, since it uses less digits than its factorization.

201681051586560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 54.

The spelling of 201681051586560 in words is "two hundred one trillion, six hundred eighty-one billion, fifty-one million, five hundred eighty-six thousand, five hundred sixty".