66126885027840 has 2592 divisors, whose sum is σ = 294710555805120. Its totient is φ = 13952046071808.

The previous prime is 66126885027751. The next prime is 66126885027887. The reversal of 66126885027840 is 4872058862166.

66126885027840 is a `hidden beast` number, since 6 + 6 + 1 + 2 + 6 + 88 + 502 + 7 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5086683463674 + ... + 5086683463686.

It is an arithmetic number, because the mean of its divisors is an integer number (113700060110).

Almost surely, 2^{66126885027840} is an apocalyptic number.

66126885027840 is a gapful number since it is divisible by the number (60) 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 66126885027840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147355277902560).

66126885027840 is an abundant number, since it is smaller than the sum of its proper divisors (228583670777280).

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

66126885027840 is an frugal number, since it uses more digits than its factorization.

66126885027840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 66126885027840 in words is "sixty-six trillion, one hundred twenty-six billion, eight hundred eighty-five million, twenty-seven thousand, eight hundred forty".