56286605760 has 1344 divisors, whose sum is σ = 244175523840. Its totient is φ = 10928332800.

The previous prime is 56286605743. The next prime is 56286605777. The reversal of 56286605760 is 6750668265.

It is an interprime number because it is at equal distance from previous prime (56286605743) and next prime (56286605777).

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 1815696945 + ... + 1815696975.

Almost surely, 2^56286605760 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 56286605760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122087761920).

56286605760 is an abundant number, since it is smaller than the sum of its proper divisors (187888918080).

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

56286605760 is a wasteful number, since it uses less digits than its factorization.

56286605760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 56286605760 in words is "fifty-six billion, two hundred eighty-six million, six hundred five thousand, seven hundred sixty".