56390628000 has 384 divisors, whose sum is σ = 211667129856. Its totient is φ = 12856320000.

The previous prime is 56390627981. The next prime is 56390628013. The reversal of 56390628000 is 82609365.

It is a self number, because there is not a number n which added to its sum of digits gives 56390628000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50483442 + ... + 50484558.

It is an arithmetic number, because the mean of its divisors is an integer number (551216484).

Almost surely, 2^56390628000 is an apocalyptic number.

56390628000 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 56390628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105833564928).

56390628000 is an abundant number, since it is smaller than the sum of its proper divisors (155276501856).

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

56390628000 is a wasteful number, since it uses less digits than its factorization.

56390628000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 56390628000 in words is "fifty-six billion, three hundred ninety million, six hundred twenty-eight thousand".