53647753108992 has 320 divisors, whose sum is σ = 167782522659840. Its totient is φ = 14911018500096.

The previous prime is 53647753108991. The next prime is 53647753109101. The reversal of 53647753108992 is 29980135774635.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53647753108991) 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 31 ways as a sum of consecutive naturals, for example, 3634910509 + ... + 3634925267.

It is an arithmetic number, because the mean of its divisors is an integer number (524320383312).

It is a 1-persistent number, because it is pandigital, but 2⋅53647753108992 = 107295506217984 is not.

Almost surely, 2^{53647753108992} 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 53647753108992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83891261329920).

53647753108992 is an abundant number, since it is smaller than the sum of its proper divisors (114134769550848).

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

53647753108992 is a wasteful number, since it uses less digits than its factorization.

53647753108992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23961 (or 23945 counting only the distinct ones).

The product of its (nonzero) digits is 342921600, while the sum is 69.

The spelling of 53647753108992 in words is "fifty-three trillion, six hundred forty-seven billion, seven hundred fifty-three million, one hundred eight thousand, nine hundred ninety-two".