56853135360 has 1008 divisors, whose sum is σ = 247555266336. Its totient is φ = 12230590464.

The previous prime is 56853135359. The next prime is 56853135397. The reversal of 56853135360 is 6353135865.

It is a happy number.

56853135360 is a `hidden beast` number, since 5 + 6 + 8 + 531 + 3 + 53 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3344302072 + ... + 3344302088.

It is an arithmetic number, because the mean of its divisors is an integer number (245590542).

Almost surely, 2^56853135360 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 56853135360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123777633168).

56853135360 is an abundant number, since it is smaller than the sum of its proper divisors (190702130976).

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

56853135360 is an frugal number, since it uses more digits than its factorization.

56853135360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 56853135360 in words is "fifty-six billion, eight hundred fifty-three million, one hundred thirty-five thousand, three hundred sixty".