5466392568000 has 6720 divisors, whose sum is σ = 28924667291520. Its totient is φ = 1003290624000.

The previous prime is 5466392567971. The next prime is 5466392568067. The reversal of 5466392568000 is 8652936645.

5466392568000 is a `hidden beast` number, since 5 + 46 + 6 + 39 + 2 + 568 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6720).

It is a super-3 number, since 3×5466392568000³ (a number of 39 digits) contains 333 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 (19) of ones.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 133326647980 + ... + 133326648020.

It is an arithmetic number, because the mean of its divisors is an integer number (4304265966).

Almost surely, 2^{5466392568000} is an apocalyptic number.

5466392568000 is a gapful number since it is divisible by the number (50) 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 5466392568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14462333645760).

5466392568000 is an abundant number, since it is smaller than the sum of its proper divisors (23458274723520).

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

5466392568000 is a wasteful number, since it uses less digits than its factorization.

5466392568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 5466392568000 in words is "five trillion, four hundred sixty-six billion, three hundred ninety-two million, five hundred sixty-eight thousand".