66248917122960 has 1440 divisors, whose sum is σ = 282787514440704. Its totient is φ = 13756074393600.

The previous prime is 66248917122937. The next prime is 66248917122961. The reversal of 66248917122960 is 6922171984266.

66248917122960 is a `hidden beast` number, since 6 + 6 + 2 + 489 + 1 + 71 + 2 + 29 + 60 = 666.

It is not an unprimeable number, because it can be changed into a prime (66248917122961) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1366975689 + ... + 1367024151.

Almost surely, 2^{66248917122960} is an apocalyptic number.

66248917122960 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 66248917122960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141393757220352).

66248917122960 is an abundant number, since it is smaller than the sum of its proper divisors (216538597317744).

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

66248917122960 is a wasteful number, since it uses less digits than its factorization.

66248917122960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48605 (or 48585 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 66248917122960 in words is "sixty-six trillion, two hundred forty-eight billion, nine hundred seventeen million, one hundred twenty-two thousand, nine hundred sixty".