66056716201164 has 192 divisors, whose sum is σ = 167438533936128. Its totient is φ = 20148617548800.

The previous prime is 66056716201159. The next prime is 66056716201169. The reversal of 66056716201164 is 46110261765066.

It is an interprime number because it is at equal distance from previous prime (66056716201159) and next prime (66056716201169).

It is a super-2 number, since 2×66056716201164² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66056716201169) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7427940702 + ... + 7427949594.

It is an arithmetic number, because the mean of its divisors is an integer number (872075697584).

Almost surely, 2^{66056716201164} 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 66056716201164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83719266968064).

66056716201164 is an abundant number, since it is smaller than the sum of its proper divisors (101381817734964).

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

66056716201164 is a wasteful number, since it uses less digits than its factorization.

66056716201164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10048 (or 10046 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 66056716201164 in words is "sixty-six trillion, fifty-six billion, seven hundred sixteen million, two hundred one thousand, one hundred sixty-four".