66194705122560 has 1728 divisors, whose sum is σ = 292905921450240. Its totient is φ = 14239703826432.

The previous prime is 66194705122529. The next prime is 66194705122627. The reversal of 66194705122560 is 6522150749166.

66194705122560 is a `hidden beast` number, since 6 + 6 + 1 + 9 + 4 + 7 + 0 + 51 + 22 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×66194705122560² (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 a junction number, because it is equal to n+sod(n) for n = 66194705122497 and 66194705122506.

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, 2331852687 + ... + 2331881073.

It is an arithmetic number, because the mean of its divisors is an integer number (169505741580).

Almost surely, 2^{66194705122560} is an apocalyptic number.

66194705122560 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 66194705122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146452960725120).

66194705122560 is an abundant number, since it is smaller than the sum of its proper divisors (226711216327680).

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

66194705122560 is an equidigital number, since it uses as much as digits as its factorization.

66194705122560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28460 (or 28421 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 66194705122560 in words is "sixty-six trillion, one hundred ninety-four billion, seven hundred five million, one hundred twenty-two thousand, five hundred sixty".