56281322340 has 756 divisors, whose sum is σ = 204040509876. Its totient is φ = 13020383232.

The previous prime is 56281322309. The next prime is 56281322371. The reversal of 56281322340 is 4322318265.

56281322340 is a `hidden beast` number, since 5 + 6 + 281 + 32 + 2 + 340 = 666.

It is an interprime number because it is at equal distance from previous prime (56281322309) and next prime (56281322371).

It can be written as a sum of positive squares in 6 ways, for example, as 10738347876 + 45542974464 = 103626^2 + 213408^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56281322295 and 56281322304.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 1521116802 + ... + 1521116838.

Almost surely, 2^56281322340 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 56281322340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102020254938).

56281322340 is an abundant number, since it is smaller than the sum of its proper divisors (147759187536).

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

56281322340 is a wasteful number, since it uses less digits than its factorization.

56281322340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 56281322340 in words is "fifty-six billion, two hundred eighty-one million, three hundred twenty-two thousand, three hundred forty".