56008433016 has 160 divisors (see below), whose sum is σ = 165287984400. Its totient is φ = 17670182400.

The previous prime is 56008432969. The next prime is 56008433029. The reversal of 56008433016 is 61033480065.

56008433016 is a `hidden beast` number, since 5 + 600 + 8 + 4 + 3 + 30 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23403916 + ... + 23406308.

Almost surely, 2^56008433016 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 56008433016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82643992200).

56008433016 is an abundant number, since it is smaller than the sum of its proper divisors (109279551384).

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

56008433016 is a wasteful number, since it uses less digits than its factorization.

56008433016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4331 (or 4318 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 56008433016 in words is "fifty-six billion, eight million, four hundred thirty-three thousand, sixteen".