5378334768000 has 256 divisors, whose sum is σ = 19810201320000. Its totient is φ = 1434222489600.

The previous prime is 5378334767989. The next prime is 5378334768017. The reversal of 5378334768000 is 8674338735.

5378334768000 is a `hidden beast` number, since 537 + 8 + 3 + 3 + 47 + 68 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×5378334768000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5792925 + ... + 6656924.

Almost surely, 2^{5378334768000} is an apocalyptic number.

5378334768000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5378334768000 is an abundant number, since it is smaller than the sum of its proper divisors (14431866552000).

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

5378334768000 is a wasteful number, since it uses less digits than its factorization.

5378334768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12449887 (or 12449859 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 5378334768000 in words is "five trillion, three hundred seventy-eight billion, three hundred thirty-four million, seven hundred sixty-eight thousand".