20061586327680 has 320 divisors, whose sum is σ = 71830676966400. Its totient is φ = 5335783041024.

The previous prime is 20061586327667. The next prime is 20061586327703. The reversal of 20061586327680 is 8672368516002.

20061586327680 is a `hidden beast` number, since 20 + 0 + 6 + 1 + 586 + 32 + 7 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19349511 + ... + 20359929.

It is an arithmetic number, because the mean of its divisors is an integer number (224470865520).

Almost surely, 2^{20061586327680} is an apocalyptic number.

20061586327680 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 20061586327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35915338483200).

20061586327680 is an abundant number, since it is smaller than the sum of its proper divisors (51769090638720).

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

20061586327680 is a wasteful number, since it uses less digits than its factorization.

20061586327680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010833 (or 1010812 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 20061586327680 in words is "twenty trillion, sixty-one billion, five hundred eighty-six million, three hundred twenty-seven thousand, six hundred eighty".