5656006000 has 80 divisors (see below), whose sum is σ = 13880674080. Its totient is φ = 2228582400.

The previous prime is 5656005997. The next prime is 5656006001. The reversal of 5656006000 is 6006565.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 5656006000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5656006001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112896 + ... + 155104.

It is an arithmetic number, because the mean of its divisors is an integer number (173508426).

Almost surely, 2^5656006000 is an apocalyptic number.

5656006000 is a gapful number since it is divisible by the number (50) 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 5656006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6940337040).

5656006000 is an abundant number, since it is smaller than the sum of its proper divisors (8224668080).

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

5656006000 is a wasteful number, since it uses less digits than its factorization.

5656006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42299 (or 42283 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 5656006000 is about 75206.4225980734. The cubic root of 5656006000 is about 1781.7083712128.

The spelling of 5656006000 in words is "five billion, six hundred fifty-six million, six thousand".