56989621868256 has 1728 divisors, whose sum is σ = 214059161272320. Its totient is φ = 13968005990400.

The previous prime is 56989621868239. The next prime is 56989621868273. The reversal of 56989621868256 is 65286812698965.

56989621868256 is a `hidden beast` number, since 5 + 6 + 9 + 8 + 96 + 218 + 68 + 256 = 666.

It is an interprime number because it is at equal distance from previous prime (56989621868239) and next prime (56989621868273).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 238450300585 + ... + 238450300823.

It is an arithmetic number, because the mean of its divisors is an integer number (123876829440).

Almost surely, 2^{56989621868256} is an apocalyptic number.

56989621868256 is a gapful number since it is divisible by the number (56) 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 56989621868256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107029580636160).

56989621868256 is an abundant number, since it is smaller than the sum of its proper divisors (157069539404064).

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

56989621868256 is a wasteful number, since it uses less digits than its factorization.

56989621868256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 527 counting only the distinct ones).

The product of its digits is 5374771200, while the sum is 81.

The spelling of 56989621868256 in words is "fifty-six trillion, nine hundred eighty-nine billion, six hundred twenty-one million, eight hundred sixty-eight thousand, two hundred fifty-six".