56492583829248 has 288 divisors, whose sum is σ = 172354767137280. Its totient is φ = 16091636613120.

The previous prime is 56492583829219. The next prime is 56492583829271. The reversal of 56492583829248 is 84292838529465.

It is a super-3 number, since 3×56492583829248³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 56492583829248.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5598308683 + ... + 5598318773.

It is an arithmetic number, because the mean of its divisors is an integer number (598454052560).

Almost surely, 2^{56492583829248} 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 56492583829248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86177383568640).

56492583829248 is an abundant number, since it is smaller than the sum of its proper divisors (115862183308032).

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

56492583829248 is a wasteful number, since it uses less digits than its factorization.

56492583829248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13183 (or 13169 counting only the distinct ones).

The product of its digits is 2388787200, while the sum is 75.

The spelling of 56492583829248 in words is "fifty-six trillion, four hundred ninety-two billion, five hundred eighty-three million, eight hundred twenty-nine thousand, two hundred forty-eight".