56058148224 has 192 divisors, whose sum is σ = 180157308240. Its totient is φ = 17248536576.

The previous prime is 56058148213. The next prime is 56058148241. The reversal of 56058148224 is 42284185065.

56058148224 is a `hidden beast` number, since 5 + 6 + 0 + 581 + 48 + 2 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 56058148224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 335034 + ... + 473670.

Almost surely, 2^56058148224 is an apocalyptic number.

56058148224 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 56058148224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90078654120).

56058148224 is an abundant number, since it is smaller than the sum of its proper divisors (124099160016).

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

56058148224 is a wasteful number, since it uses less digits than its factorization.

56058148224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138679 (or 138655 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 56058148224 in words is "fifty-six billion, fifty-eight million, one hundred forty-eight thousand, two hundred twenty-four".