56380056480 has 720 divisors, whose sum is σ = 221061816360. Its totient is φ = 13521530880.

The previous prime is 56380056427. The next prime is 56380056497. The reversal of 56380056480 is 8465008365.

56380056480 is a `hidden beast` number, since 5 + 6 + 3 + 8 + 0 + 0 + 564 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 51128445456 + 5251611024 = 226116^2 + 72468^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 119 ways as a sum of consecutive naturals, for example, 246201006 + ... + 246201234.

Almost surely, 2^56380056480 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 56380056480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110530908180).

56380056480 is an abundant number, since it is smaller than the sum of its proper divisors (164681759880).

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

56380056480 is a wasteful number, since it uses less digits than its factorization.

56380056480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 56380056480 in words is "fifty-six billion, three hundred eighty million, fifty-six thousand, four hundred eighty".