56082978432 has 384 divisors, whose sum is σ = 180843062400. Its totient is φ = 16564101120.

The previous prime is 56082978431. The next prime is 56082978437. The reversal of 56082978432 is 23487928065.

56082978432 is a `hidden beast` number, since 5 + 60 + 82 + 9 + 78 + 432 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (56082978431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114221707 + ... + 114222197.

It is an arithmetic number, because the mean of its divisors is an integer number (470945475).

Almost surely, 2^56082978432 is an apocalyptic number.

56082978432 is a gapful number since it is divisible by the number (52) 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 56082978432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90421531200).

56082978432 is an abundant number, since it is smaller than the sum of its proper divisors (124760083968).

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

56082978432 is a wasteful number, since it uses less digits than its factorization.

56082978432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 56082978432 in words is "fifty-six billion, eighty-two million, nine hundred seventy-eight thousand, four hundred thirty-two".