56895106320 has 1440 divisors, whose sum is σ = 244433105280. Its totient is φ = 12182814720.

The previous prime is 56895106313. The next prime is 56895106393. The reversal of 56895106320 is 2360159865.

56895106320 is a `hidden beast` number, since 5 + 6 + 8 + 9 + 5 + 1 + 0 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1387685500 + ... + 1387685540.

It is an arithmetic number, because the mean of its divisors is an integer number (169745212).

Almost surely, 2^56895106320 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 56895106320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122216552640).

56895106320 is an abundant number, since it is smaller than the sum of its proper divisors (187537998960).

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

56895106320 is a wasteful number, since it uses less digits than its factorization.

56895106320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 56895106320 in words is "fifty-six billion, eight hundred ninety-five million, one hundred six thousand, three hundred twenty".