56219425726464 has 1792 divisors, whose sum is σ = 230883348971520. Its totient is φ = 13042778112000.

The previous prime is 56219425726447. The next prime is 56219425726487. The reversal of 56219425726464 is 46462752491265.

56219425726464 is a `hidden beast` number, since 5 + 6 + 2 + 19 + 4 + 2 + 572 + 6 + 46 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6863556609 + ... + 6863564799.

It is an arithmetic number, because the mean of its divisors is an integer number (128841154560).

Almost surely, 2^{56219425726464} is an apocalyptic number.

56219425726464 is a gapful number since it is divisible by the number (54) 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 56219425726464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115441674485760).

56219425726464 is an abundant number, since it is smaller than the sum of its proper divisors (174663923245056).

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

56219425726464 is a wasteful number, since it uses less digits than its factorization.

56219425726464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8288 (or 8258 counting only the distinct ones).

The product of its digits is 174182400, while the sum is 63.

The spelling of 56219425726464 in words is "fifty-six trillion, two hundred nineteen billion, four hundred twenty-five million, seven hundred twenty-six thousand, four hundred sixty-four".