56578034240 has 336 divisors, whose sum is σ = 171995512752. Its totient is φ = 17564811264.

The previous prime is 56578034239. The next prime is 56578034287. The reversal of 56578034240 is 4243087565.

It can be written as a sum of positive squares in 8 ways, for example, as 120472576 + 56457561664 = 10976^2 + 237608^2 .

It is a super-3 number, since 3×56578034240³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 56578034191 and 56578034200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10800902 + ... + 10806138.

It is an arithmetic number, because the mean of its divisors is an integer number (511891407).

Almost surely, 2^56578034240 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 56578034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85997756376).

56578034240 is an abundant number, since it is smaller than the sum of its proper divisors (115417478512).

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

56578034240 is a wasteful number, since it uses less digits than its factorization.

56578034240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5334 (or 5317 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 44.

The spelling of 56578034240 in words is "fifty-six billion, five hundred seventy-eight million, thirty-four thousand, two hundred forty".