56384973792 has 288 divisors, whose sum is σ = 185303401920. Its totient is φ = 15930777600.

The previous prime is 56384973763. The next prime is 56384973809. The reversal of 56384973792 is 29737948365.

56384973792 is a `hidden beast` number, since 56 + 3 + 8 + 497 + 3 + 7 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 47 ways as a sum of consecutive naturals, for example, 93818292 + ... + 93818892.

It is an arithmetic number, because the mean of its divisors is an integer number (643414590).

Almost surely, 2^56384973792 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 56384973792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92651700960).

56384973792 is an abundant number, since it is smaller than the sum of its proper divisors (128918428128).

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

56384973792 is a wasteful number, since it uses less digits than its factorization.

56384973792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1055 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 63.

The spelling of 56384973792 in words is "fifty-six billion, three hundred eighty-four million, nine hundred seventy-three thousand, seven hundred ninety-two".