66105101010564 has 288 divisors, whose sum is σ = 215067118436352. Its totient is φ = 16615080288000.

The previous prime is 66105101010523. The next prime is 66105101010583. The reversal of 66105101010564 is 46501010150166.

66105101010564 is a `hidden beast` number, since 6 + 61 + 0 + 5 + 10 + 10 + 10 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 2261457829 + ... + 2261487059.

It is an arithmetic number, because the mean of its divisors is an integer number (746760827904).

Almost surely, 2^{66105101010564} 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 66105101010564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107533559218176).

66105101010564 is an abundant number, since it is smaller than the sum of its proper divisors (148962017425788).

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

66105101010564 is a wasteful number, since it uses less digits than its factorization.

66105101010564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55607 (or 55602 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 66105101010564 in words is "sixty-six trillion, one hundred five billion, one hundred one million, ten thousand, five hundred sixty-four".