56294088580224 has 768 divisors, whose sum is σ = 186312462336000. Its totient is φ = 16777099468800.

The previous prime is 56294088580181. The next prime is 56294088580237. The reversal of 56294088580224 is 42208588049265.

56294088580224 is a `hidden beast` number, since 5 + 6 + 2 + 9 + 40 + 8 + 8 + 580 + 2 + 2 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5816101017 + ... + 5816110695.

It is an arithmetic number, because the mean of its divisors is an integer number (242594352000).

Almost surely, 2^{56294088580224} is an apocalyptic number.

56294088580224 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 56294088580224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93156231168000).

56294088580224 is an abundant number, since it is smaller than the sum of its proper divisors (130018373755776).

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

56294088580224 is a wasteful number, since it uses less digits than its factorization.

56294088580224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9999 (or 9975 counting only the distinct ones).

The product of its (nonzero) digits is 88473600, while the sum is 63.

The spelling of 56294088580224 in words is "fifty-six trillion, two hundred ninety-four billion, eighty-eight million, five hundred eighty thousand, two hundred twenty-four".