56819006000 has 160 divisors (see below), whose sum is σ = 147076300800. Its totient is φ = 21165638400.

The previous prime is 56819005993. The next prime is 56819006003. The reversal of 56819006000 is 60091865.

56819006000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (56819006003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2229329 + ... + 2254671.

It is an arithmetic number, because the mean of its divisors is an integer number (919226880).

Almost surely, 2^56819006000 is an apocalyptic number.

56819006000 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 56819006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73538150400).

56819006000 is an abundant number, since it is smaller than the sum of its proper divisors (90257294800).

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

56819006000 is a wasteful number, since it uses less digits than its factorization.

56819006000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25444 (or 25428 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

Adding to 56819006000 its reverse (60091865), we get a palindrome (56879097865).

The spelling of 56819006000 in words is "fifty-six billion, eight hundred nineteen million, six thousand".