53486584320 has 320 divisors, whose sum is σ = 189132894720. Its totient is φ = 12809207808.

The previous prime is 53486584267. The next prime is 53486584321. The reversal of 53486584320 is 2348568435.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 53486584320.

It is not an unprimeable number, because it can be changed into a prime (53486584321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3686841 + ... + 3701319.

It is an arithmetic number, because the mean of its divisors is an integer number (591040296).

Almost surely, 2^53486584320 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 53486584320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94566447360).

53486584320 is an abundant number, since it is smaller than the sum of its proper divisors (135646310400).

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

53486584320 is a wasteful number, since it uses less digits than its factorization.

53486584320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14555 (or 14539 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 53486584320 in words is "fifty-three billion, four hundred eighty-six million, five hundred eighty-four thousand, three hundred twenty".