66532500523566 has 384 divisors, whose sum is σ = 189210031971840. Its totient is φ = 17135314560000.

The previous prime is 66532500523543. The next prime is 66532500523597.

66532500523566 is a `hidden beast` number, since 6 + 6 + 5 + 3 + 2 + 50 + 0 + 5 + 23 + 566 = 666.

66532500523566 is nontrivially palindromic in base 10.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5189331436 + ... + 5189344256.

It is an arithmetic number, because the mean of its divisors is an integer number (492734458260).

Almost surely, 2^{66532500523566} is an apocalyptic number.

66532500523566 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 66532500523566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94605015985920).

66532500523566 is an abundant number, since it is smaller than the sum of its proper divisors (122677531448274).

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

66532500523566 is a wasteful number, since it uses less digits than its factorization.

66532500523566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14349 (or 14336 counting only the distinct ones).

The product of its (nonzero) digits is 29160000, while the sum is 54.

The spelling of 66532500523566 in words is "sixty-six trillion, five hundred thirty-two billion, five hundred million, five hundred twenty-three thousand, five hundred sixty-six".