5066957306880 has 2464 divisors, whose sum is σ = 22423827110400. Its totient is φ = 1072374349824.

The previous prime is 5066957306843. The next prime is 5066957306881. The reversal of 5066957306880 is 886037596605.

5066957306880 is a `hidden beast` number, since 50 + 6 + 6 + 9 + 573 + 0 + 6 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5066957306881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 29288770474 + ... + 29288770646.

Almost surely, 2^{5066957306880} 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 5066957306880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11211913555200).

5066957306880 is an abundant number, since it is smaller than the sum of its proper divisors (17356869803520).

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

5066957306880 is a wasteful number, since it uses less digits than its factorization.

5066957306880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 5066957306880 in words is "five trillion, sixty-six billion, nine hundred fifty-seven million, three hundred six thousand, eight hundred eighty".