53085352320 has 2304 divisors, whose sum is σ = 265468170240. Its totient is φ = 9853747200.

The previous prime is 53085352319. The next prime is 53085352367. The reversal of 53085352320 is 2325358035.

53085352320 is a `hidden beast` number, since 5 + 30 + 85 + 3 + 523 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1712430705 + ... + 1712430735.

It is an arithmetic number, because the mean of its divisors is an integer number (115220560).

Almost surely, 2^53085352320 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 53085352320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132734085120).

53085352320 is an abundant number, since it is smaller than the sum of its proper divisors (212382817920).

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

53085352320 is a wasteful number, since it uses less digits than its factorization.

53085352320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 53085352320 in words is "fifty-three billion, eighty-five million, three hundred fifty-two thousand, three hundred twenty".