5468708044800 has 4608 divisors, whose sum is σ = 28552708224000. Its totient is φ = 993735475200.

The previous prime is 5468708044759. The next prime is 5468708044829. The reversal of 5468708044800 is 84408078645.

5468708044800 is a `hidden beast` number, since 5 + 4 + 6 + 87 + 0 + 80 + 4 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 287826739191 + ... + 287826739209.

It is an arithmetic number, because the mean of its divisors is an integer number (6196334250).

Almost surely, 2^{5468708044800} is an apocalyptic number.

5468708044800 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 5468708044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14276354112000).

5468708044800 is an abundant number, since it is smaller than the sum of its proper divisors (23084000179200).

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

5468708044800 is a wasteful number, since it uses less digits than its factorization.

5468708044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 5468708044800 in words is "five trillion, four hundred sixty-eight billion, seven hundred eight million, forty-four thousand, eight hundred".