56462565000 has 320 divisors, whose sum is σ = 183507508800. Its totient is φ = 14455168000.

The previous prime is 56462564981. The next prime is 56462565011. The reversal of 56462565000 is 56526465.

It is a happy number.

56462565000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 56462565000.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 127454779 + ... + 127455221.

It is an arithmetic number, because the mean of its divisors is an integer number (573460965).

Almost surely, 2^56462565000 is an apocalyptic number.

56462565000 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 56462565000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91753754400).

56462565000 is an abundant number, since it is smaller than the sum of its proper divisors (127044943800).

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

56462565000 is a wasteful number, since it uses less digits than its factorization.

56462565000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 56462565000 in words is "fifty-six billion, four hundred sixty-two million, five hundred sixty-five thousand".