56683004000 has 576 divisors, whose sum is σ = 176394516480. Its totient is φ = 17781120000.

The previous prime is 56683003957. The next prime is 56683004039. The reversal of 56683004000 is 40038665.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115443755 + ... + 115444245.

It is an arithmetic number, because the mean of its divisors is an integer number (306240480).

Almost surely, 2^56683004000 is an apocalyptic number.

56683004000 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 56683004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88197258240).

56683004000 is an abundant number, since it is smaller than the sum of its proper divisors (119711512480).

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

56683004000 is a wasteful number, since it uses less digits than its factorization.

56683004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 56683004000 in words is "fifty-six billion, six hundred eighty-three million, four thousand".