53314597260288 has 2816 divisors, whose sum is σ = 212060029440000. Its totient is φ = 13273534955520.

The previous prime is 53314597260277. The next prime is 53314597260319. The reversal of 53314597260288 is 88206279541335.

53314597260288 is a `hidden beast` number, since 5 + 3 + 3 + 1 + 4 + 5 + 97 + 260 + 288 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 189731662708 + ... + 189731662988.

It is a 1-persistent number, because it is pandigital, but 2⋅53314597260288 = 106629194520576 is not.

Almost surely, 2^{53314597260288} 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 53314597260288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106030014720000).

53314597260288 is an abundant number, since it is smaller than the sum of its proper divisors (158745432179712).

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

53314597260288 is an equidigital number, since it uses as much as digits as its factorization.

53314597260288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 53314597260288 in words is "fifty-three trillion, three hundred fourteen billion, five hundred ninety-seven million, two hundred sixty thousand, two hundred eighty-eight".