56673071898624 has 420 divisors, whose sum is σ = 176991635317266. Its totient is φ = 18069563179008.

The previous prime is 56673071898571. The next prime is 56673071898643. The reversal of 56673071898624 is 42689817037665.

56673071898624 is a `hidden beast` number, since 5 + 6 + 67 + 307 + 189 + 86 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36976517812224 + 19696554086400 = 6080832^2 + 4438080^2 .

It is a super-2 number, since 2×56673071898624² (a number of 28 digits) contains 22 as substring.

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

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 29 ways as a sum of consecutive naturals, for example, 350938282 + ... + 351099734.

It is a 1-persistent number, because it is pandigital, but 2⋅56673071898624 = 113346143797248 is not.

Almost surely, 2^{56673071898624} is an apocalyptic number.

56673071898624 is a gapful number since it is divisible by the number (54) 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 56673071898624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88495817658633).

56673071898624 is an abundant number, since it is smaller than the sum of its proper divisors (120318563418642).

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

56673071898624 is an equidigital number, since it uses as much as digits as its factorization.

56673071898624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161537 (or 161481 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 56673071898624 in words is "fifty-six trillion, six hundred seventy-three billion, seventy-one million, eight hundred ninety-eight thousand, six hundred twenty-four".