53238948322560 has 3456 divisors, whose sum is σ = 243072746864640. Its totient is φ = 9750498508800.

The previous prime is 53238948322513. The next prime is 53238948322561. The reversal of 53238948322560 is 6522384983235.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 53238948322494 and 53238948322503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53238948322561) 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 383 ways as a sum of consecutive naturals, for example, 69231401856 + ... + 69231402624.

It is an arithmetic number, because the mean of its divisors is an integer number (70333549440).

Almost surely, 2^{53238948322560} 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 53238948322560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121536373432320).

53238948322560 is an abundant number, since it is smaller than the sum of its proper divisors (189833798542080).

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

53238948322560 is a wasteful number, since it uses less digits than its factorization.

53238948322560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 60.

The spelling of 53238948322560 in words is "fifty-three trillion, two hundred thirty-eight billion, nine hundred forty-eight million, three hundred twenty-two thousand, five hundred sixty".