5468056704000 has 1056 divisors, whose sum is σ = 21955612902912. Its totient is φ = 1297244160000.

The previous prime is 5468056703959. The next prime is 5468056704007. The reversal of 5468056704000 is 4076508645.

5468056704000 is a `hidden beast` number, since 5 + 4 + 6 + 80 + 567 + 0 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5468056704007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 595579410 + ... + 595588590.

Almost surely, 2^{5468056704000} is an apocalyptic number.

5468056704000 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 5468056704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10977806451456).

5468056704000 is an abundant number, since it is smaller than the sum of its proper divisors (16487556198912).

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

5468056704000 is a wasteful number, since it uses less digits than its factorization.

5468056704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9280 (or 9249 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 5468056704000 in words is "five trillion, four hundred sixty-eight billion, fifty-six million, seven hundred four thousand".