53017724312280 has 1152 divisors, whose sum is σ = 225468761656320. Its totient is φ = 10689080371200.

The previous prime is 53017724312261. The next prime is 53017724312297. The reversal of 53017724312280 is 8221342771035.

53017724312280 is a `hidden beast` number, since 5 + 30 + 1 + 7 + 7 + 24 + 312 + 280 = 666.

53017724312280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5923101805 + ... + 5923110755.

It is an arithmetic number, because the mean of its divisors is an integer number (195719411160).

Almost surely, 2^{53017724312280} 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 53017724312280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112734380828160).

53017724312280 is an abundant number, since it is smaller than the sum of its proper divisors (172451037344040).

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

53017724312280 is a wasteful number, since it uses less digits than its factorization.

53017724312280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10141 (or 10127 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 53017724312280 in words is "fifty-three trillion, seventeen billion, seven hundred twenty-four million, three hundred twelve thousand, two hundred eighty".