56002041648 has 480 divisors, whose sum is σ = 199422093312. Its totient is φ = 14294016000.

The previous prime is 56002041629. The next prime is 56002041649. The reversal of 56002041648 is 84614020065.

56002041648 is a `hidden beast` number, since 5 + 6 + 0 + 0 + 2 + 0 + 4 + 1 + 648 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (56002041649) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 59512858 + ... + 59513798.

Almost surely, 2^56002041648 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 56002041648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99711046656).

56002041648 is an abundant number, since it is smaller than the sum of its proper divisors (143420051664).

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

56002041648 is a wasteful number, since it uses less digits than its factorization.

56002041648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 56002041648 in words is "fifty-six billion, two million, forty-one thousand, six hundred forty-eight".