53595282825216 has 1680 divisors, whose sum is σ = 185172023481984. Its totient is φ = 15415640064000.

The previous prime is 53595282825187. The next prime is 53595282825221. The reversal of 53595282825216 is 61252828259535.

53595282825216 is a `hidden beast` number, since 5 + 3 + 5 + 9 + 5 + 28 + 2 + 82 + 521 + 6 = 666.

It is a super-2 number, since 2×53595282825216² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 151827996496 + ... + 151827996848.

Almost surely, 2^{53595282825216} 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 53595282825216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92586011740992).

53595282825216 is an abundant number, since it is smaller than the sum of its proper divisors (131576740656768).

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

53595282825216 is a wasteful number, since it uses less digits than its factorization.

53595282825216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 461 counting only the distinct ones).

The product of its digits is 103680000, while the sum is 63.

The spelling of 53595282825216 in words is "fifty-three trillion, five hundred ninety-five billion, two hundred eighty-two million, eight hundred twenty-five thousand, two hundred sixteen".