53755824768 has 128 divisors (see below), whose sum is σ = 144004660800. Its totient is φ = 17766604800.

The previous prime is 53755824739. The next prime is 53755824821. The reversal of 53755824768 is 86742855735.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37617078 + ... + 37618506.

Almost surely, 2^53755824768 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 53755824768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72002330400).

53755824768 is an abundant number, since it is smaller than the sum of its proper divisors (90248836032).

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

53755824768 is a wasteful number, since it uses less digits than its factorization.

53755824768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 2198 counting only the distinct ones).

The product of its digits is 56448000, while the sum is 60.

The spelling of 53755824768 in words is "fifty-three billion, seven hundred fifty-five million, eight hundred twenty-four thousand, seven hundred sixty-eight".