56802753741600 has 216 divisors, whose sum is σ = 200316694660992. Its totient is φ = 15146192217600.

The previous prime is 56802753741599. The next prime is 56802753741631. The reversal of 56802753741600 is 614735720865.

56802753741600 is a `hidden beast` number, since 5 + 6 + 8 + 0 + 2 + 7 + 537 + 41 + 60 + 0 = 666.

56802753741600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 35 ways as a sum of consecutive naturals, for example, 91786809 + ... + 92403591.

It is an arithmetic number, because the mean of its divisors is an integer number (927392104912).

Almost surely, 2^{56802753741600} is an apocalyptic number.

56802753741600 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 56802753741600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100158347330496).

56802753741600 is an abundant number, since it is smaller than the sum of its proper divisors (143513940919392).

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

56802753741600 is a wasteful number, since it uses less digits than its factorization.

56802753741600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629600 (or 629584 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 56802753741600 in words is "fifty-six trillion, eight hundred two billion, seven hundred fifty-three million, seven hundred forty-one thousand, six hundred".