56989481028480 has 6144 divisors, whose sum is σ = 299331757670400. Its totient is φ = 9586999296000.

The previous prime is 56989481028457. The next prime is 56989481028527. The reversal of 56989481028480 is 8482018498965.

56989481028480 is a `hidden beast` number, since 5 + 6 + 9 + 89 + 48 + 1 + 0 + 28 + 480 = 666.

56989481028480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×56989481028480² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 56989481028399 and 56989481028408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 132226173865 + ... + 132226174295.

It is an arithmetic number, because the mean of its divisors is an integer number (48719361600).

Almost surely, 2^{56989481028480} 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 56989481028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149665878835200).

56989481028480 is an abundant number, since it is smaller than the sum of its proper divisors (242342276641920).

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

56989481028480 is a wasteful number, since it uses less digits than its factorization.

56989481028480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 318504960, while the sum is 72.

The spelling of 56989481028480 in words is "fifty-six trillion, nine hundred eighty-nine billion, four hundred eighty-one million, twenty-eight thousand, four hundred eighty".