56184296064 has 384 divisors, whose sum is σ = 172885985280. Its totient is φ = 16102195200.

The previous prime is 56184296033. The next prime is 56184296083. The reversal of 56184296064 is 46069248165.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 56184295998 and 56184296016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140110264 + ... + 140110664.

It is an arithmetic number, because the mean of its divisors is an integer number (450223920).

Almost surely, 2^56184296064 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 56184296064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86442992640).

56184296064 is an abundant number, since it is smaller than the sum of its proper divisors (116701689216).

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

56184296064 is a wasteful number, since it uses less digits than its factorization.

56184296064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 56184296064 in words is "fifty-six billion, one hundred eighty-four million, two hundred ninety-six thousand, sixty-four".