56342217888 has 288 divisors, whose sum is σ = 177300264960. Its totient is φ = 16829882880.

The previous prime is 56342217859. The next prime is 56342217901. The reversal of 56342217888 is 88871224365.

56342217888 is a `hidden beast` number, since 5 + 6 + 342 + 217 + 8 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (5160960) is a multiple of the sum of its prime factors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117624433 + ... + 117624911.

It is an arithmetic number, because the mean of its divisors is an integer number (615625920).

Almost surely, 2^56342217888 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 56342217888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88650132480).

56342217888 is an abundant number, since it is smaller than the sum of its proper divisors (120958047072).

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

56342217888 is a wasteful number, since it uses less digits than its factorization.

56342217888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 949 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 56342217888 in words is "fifty-six billion, three hundred forty-two million, two hundred seventeen thousand, eight hundred eighty-eight".