53008360345488 has 160 divisors (see below), whose sum is σ = 142880463815040. Its totient is φ = 16913818091520.

The previous prime is 53008360345483. The next prime is 53008360345547. The reversal of 53008360345488 is 88454306380035.

53008360345488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×53008360345488³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (53008360345483) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 78379503 + ... + 79052913.

It is an arithmetic number, because the mean of its divisors is an integer number (893002898844).

Almost surely, 2^{53008360345488} is an apocalyptic number.

53008360345488 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53008360345488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71440231907520).

53008360345488 is an abundant number, since it is smaller than the sum of its proper divisors (89872103469552).

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

53008360345488 is a wasteful number, since it uses less digits than its factorization.

53008360345488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673937 (or 673931 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 57.

The spelling of 53008360345488 in words is "fifty-three trillion, eight billion, three hundred sixty million, three hundred forty-five thousand, four hundred eighty-eight".