66534110026560 has 2016 divisors, whose sum is σ = 269526378700800. Its totient is φ = 15497480908800.

The previous prime is 66534110026537. The next prime is 66534110026597. The reversal of 66534110026560 is 6562001143566.

66534110026560 is a `hidden beast` number, since 6 + 6 + 53 + 4 + 1 + 10 + 0 + 26 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 142471327447 + ... + 142471327913.

Almost surely, 2^{66534110026560} is an apocalyptic number.

66534110026560 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 66534110026560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134763189350400).

66534110026560 is an abundant number, since it is smaller than the sum of its proper divisors (202992268674240).

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

66534110026560 is a wasteful number, since it uses less digits than its factorization.

66534110026560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 66534110026560 in words is "sixty-six trillion, five hundred thirty-four billion, one hundred ten million, twenty-six thousand, five hundred sixty".