56434051825956 has 144 divisors (see below), whose sum is σ = 168326754637440. Its totient is φ = 16017228360000.

The previous prime is 56434051825951. The next prime is 56434051825993. The reversal of 56434051825956 is 65952815043465.

56434051825956 is a `hidden beast` number, since 5 + 6 + 4 + 3 + 4 + 0 + 518 + 25 + 95 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 56434051825893 and 56434051825902.

It is not an unprimeable number, because it can be changed into a prime (56434051825951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15600606 + ... + 18874506.

Almost surely, 2^{56434051825956} 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 56434051825956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84163377318720).

56434051825956 is an abundant number, since it is smaller than the sum of its proper divisors (111892702811484).

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

56434051825956 is a wasteful number, since it uses less digits than its factorization.

56434051825956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3274223 (or 3274064 counting only the distinct ones).

The product of its (nonzero) digits is 155520000, while the sum is 63.

The spelling of 56434051825956 in words is "fifty-six trillion, four hundred thirty-four billion, fifty-one million, eight hundred twenty-five thousand, nine hundred fifty-six".