56428479744000 has 3072 divisors, whose sum is σ = 242323948339200. Its totient is φ = 11341135872000.

The previous prime is 56428479743983. The next prime is 56428479744017. The reversal of 56428479744000 is 44797482465.

It is an interprime number because it is at equal distance from previous prime (56428479743983) and next prime (56428479744017).

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (60).

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 255 ways as a sum of consecutive naturals, for example, 134674175791 + ... + 134674176209.

It is an arithmetic number, because the mean of its divisors is an integer number (78881493600).

Almost surely, 2^{56428479744000} is an apocalyptic number.

56428479744000 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 56428479744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121161974169600).

56428479744000 is an abundant number, since it is smaller than the sum of its proper divisors (185895468595200).

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

56428479744000 is a wasteful number, since it uses less digits than its factorization.

56428479744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 60.

The spelling of 56428479744000 in words is "fifty-six trillion, four hundred twenty-eight billion, four hundred seventy-nine million, seven hundred forty-four thousand".