56382642000 has 800 divisors, whose sum is σ = 219925031040. Its totient is φ = 13871001600.

The previous prime is 56382641999. The next prime is 56382642011. The reversal of 56382642000 is 24628365.

56382642000 is a `hidden beast` number, since 5 + 6 + 3 + 8 + 2 + 642 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 162485827 + ... + 162486173.

Almost surely, 2^56382642000 is an apocalyptic number.

56382642000 is a gapful number since it is divisible by the number (50) 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 56382642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109962515520).

56382642000 is an abundant number, since it is smaller than the sum of its proper divisors (163542389040).

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

56382642000 is a wasteful number, since it uses less digits than its factorization.

56382642000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 433 counting only the distinct ones).

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

The spelling of 56382642000 in words is "fifty-six billion, three hundred eighty-two million, six hundred forty-two thousand".