56228894460 has 144 divisors (see below), whose sum is σ = 173167787520. Its totient is φ = 14765708160.

The previous prime is 56228894441. The next prime is 56228894471. The reversal of 56228894460 is 6449882265.

56228894460 is a `hidden beast` number, since 5 + 622 + 8 + 8 + 9 + 4 + 4 + 6 + 0 = 666.

It is a super-3 number, since 3×56228894460³ (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56228894397 and 56228894406.

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 47 ways as a sum of consecutive naturals, for example, 13583071 + ... + 13587209.

It is an arithmetic number, because the mean of its divisors is an integer number (1202554080).

Almost surely, 2^56228894460 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 56228894460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86583893760).

56228894460 is an abundant number, since it is smaller than the sum of its proper divisors (116938893060).

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

56228894460 is a wasteful number, since it uses less digits than its factorization.

56228894460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5288 (or 5283 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 56228894460 in words is "fifty-six billion, two hundred twenty-eight million, eight hundred ninety-four thousand, four hundred sixty".