55723029664800 has 288 divisors, whose sum is σ = 192095076628224. Its totient is φ = 13981943808000.

The previous prime is 55723029664751. The next prime is 55723029664879. The reversal of 55723029664800 is 846692032755.

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 47 ways as a sum of consecutive naturals, for example, 167562690 + ... + 167894910.

It is an arithmetic number, because the mean of its divisors is an integer number (666996793848).

Almost surely, 2^{55723029664800} is an apocalyptic number.

55723029664800 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 55723029664800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96047538314112).

55723029664800 is an abundant number, since it is smaller than the sum of its proper divisors (136372046963424).

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

55723029664800 is a wasteful number, since it uses less digits than its factorization.

55723029664800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336372 (or 336359 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 57.

The spelling of 55723029664800 in words is "fifty-five trillion, seven hundred twenty-three billion, twenty-nine million, six hundred sixty-four thousand, eight hundred".