66562130412288 has 720 divisors, whose sum is σ = 232500705310720. Its totient is φ = 18543820603392.

The previous prime is 66562130412247. The next prime is 66562130412293. The reversal of 66562130412288 is 88221403126566.

66562130412288 is a `hidden beast` number, since 6 + 6 + 5 + 6 + 213 + 0 + 412 + 2 + 8 + 8 = 666.

It is a super-2 number, since 2×66562130412288² (a number of 28 digits) contains 22 as substring.

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

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 79 ways as a sum of consecutive naturals, for example, 3788603568 + ... + 3788621136.

Almost surely, 2^{66562130412288} 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 66562130412288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116250352655360).

66562130412288 is an abundant number, since it is smaller than the sum of its proper divisors (165938574898432).

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

66562130412288 is a wasteful number, since it uses less digits than its factorization.

66562130412288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18254 (or 18231 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 66562130412288 in words is "sixty-six trillion, five hundred sixty-two billion, one hundred thirty million, four hundred twelve thousand, two hundred eighty-eight".