56298150005760 has 1760 divisors, whose sum is σ = 225565499396160. Its totient is φ = 13331725811712.

The previous prime is 56298150005707. The next prime is 56298150005807. The reversal of 56298150005760 is 6750005189265.

56298150005760 is a `hidden beast` number, since 5 + 6 + 2 + 9 + 81 + 500 + 0 + 57 + 6 + 0 = 666.

56298150005760 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-3 number, since 3×56298150005760³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 56298150005697 and 56298150005706.

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 159 ways as a sum of consecutive naturals, for example, 62070727227 + ... + 62070728133.

It is an arithmetic number, because the mean of its divisors is an integer number (128162215566).

Almost surely, 2^{56298150005760} 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 56298150005760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112782749698080).

56298150005760 is an abundant number, since it is smaller than the sum of its proper divisors (169267349390400).

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

56298150005760 is a wasteful number, since it uses less digits than its factorization.

56298150005760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 56298150005760 in words is "fifty-six trillion, two hundred ninety-eight billion, one hundred fifty million, five thousand, seven hundred sixty".