56329351680 has 320 divisors, whose sum is σ = 216638991360. Its totient is φ = 12197412864.

The previous prime is 56329351679. The next prime is 56329351711. The reversal of 56329351680 is 8615392365.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 993867 + ... + 1049013.

It is an arithmetic number, because the mean of its divisors is an integer number (676996848).

Almost surely, 2^56329351680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56329351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108319495680).

56329351680 is an abundant number, since it is smaller than the sum of its proper divisors (160309639680).

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

56329351680 is a wasteful number, since it uses less digits than its factorization.

56329351680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55199 (or 55183 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 56329351680 in words is "fifty-six billion, three hundred twenty-nine million, three hundred fifty-one thousand, six hundred eighty".