56442314600 has 192 divisors, whose sum is σ = 153941040000. Its totient is φ = 18846120960.

The previous prime is 56442314597. The next prime is 56442314609. The reversal of 56442314600 is 641324465.

56442314600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (56442314609) 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, 9000266 + ... + 9006534.

It is an arithmetic number, because the mean of its divisors is an integer number (801776250).

Almost surely, 2^56442314600 is an apocalyptic number.

56442314600 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 56442314600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76970520000).

56442314600 is an abundant number, since it is smaller than the sum of its proper divisors (97498725400).

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

56442314600 is a wasteful number, since it uses less digits than its factorization.

56442314600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6460 (or 6451 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The spelling of 56442314600 in words is "fifty-six billion, four hundred forty-two million, three hundred fourteen thousand, six hundred".