5605728768000 has 2080 divisors, whose sum is σ = 22264317504000. Its totient is φ = 1400890982400.

The previous prime is 5605728767981. The next prime is 5605728768011. The reversal of 5605728768000 is 8678275065.

5605728768000 is a `hidden beast` number, since 5 + 6 + 0 + 572 + 8 + 7 + 68 + 0 + 0 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 70958591961 + ... + 70958592039.

It is an arithmetic number, because the mean of its divisors is an integer number (10703998800).

Almost surely, 2^{5605728768000} is an apocalyptic number.

5605728768000 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 5605728768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11132158752000).

5605728768000 is an abundant number, since it is smaller than the sum of its proper divisors (16658588736000).

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

5605728768000 is an equidigital number, since it uses as much as digits as its factorization.

5605728768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 5605728768000 in words is "five trillion, six hundred five billion, seven hundred twenty-eight million, seven hundred sixty-eight thousand".