56458519936 has 128 divisors (see below), whose sum is σ = 146575517760. Its totient is φ = 21021327360.

The previous prime is 56458519921. The next prime is 56458519937. The reversal of 56458519936 is 63991585465.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56458519937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55456 + ... + 340576.

Almost surely, 2^56458519936 is an apocalyptic number.

56458519936 is a gapful number since it is divisible by the number (56) 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 56458519936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73287758880).

56458519936 is an abundant number, since it is smaller than the sum of its proper divisors (90116997824).

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

56458519936 is a wasteful number, since it uses less digits than its factorization.

56458519936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285172 (or 285160 counting only the distinct ones).

The product of its digits is 34992000, while the sum is 61.

The spelling of 56458519936 in words is "fifty-six billion, four hundred fifty-eight million, five hundred nineteen thousand, nine hundred thirty-six".