53908533924672 has 336 divisors, whose sum is σ = 171430846660608. Its totient is φ = 14891785251840.

The previous prime is 53908533924659. The next prime is 53908533924677. The reversal of 53908533924672 is 27642933580935.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×53908533924672² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53908533924677) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 316936353 + ... + 317106399.

Almost surely, 2^{53908533924672} 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 53908533924672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85715423330304).

53908533924672 is an abundant number, since it is smaller than the sum of its proper divisors (117522312735936).

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

53908533924672 is a wasteful number, since it uses less digits than its factorization.

53908533924672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171194 (or 171177 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 66.

The spelling of 53908533924672 in words is "fifty-three trillion, nine hundred eight billion, five hundred thirty-three million, nine hundred twenty-four thousand, six hundred seventy-two".