56428466029264 has 120 divisors (see below), whose sum is σ = 129681031311360. Its totient is φ = 23708759622912.

The previous prime is 56428466029249. The next prime is 56428466029277. The reversal of 56428466029264 is 46292066482465.

It is a junction number, because it is equal to n+sod(n) for n = 56428466029196 and 56428466029205.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 52614117 + ... + 53675899.

It is an arithmetic number, because the mean of its divisors is an integer number (1080675260928).

Almost surely, 2^{56428466029264} 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 56428466029264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64840515655680).

56428466029264 is an abundant number, since it is smaller than the sum of its proper divisors (73252565282096).

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

56428466029264 is a wasteful number, since it uses less digits than its factorization.

56428466029264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063137 (or 1063124 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 64.

The spelling of 56428466029264 in words is "fifty-six trillion, four hundred twenty-eight billion, four hundred sixty-six million, twenty-nine thousand, two hundred sixty-four".