5305220512144 has 160 divisors (see below), whose sum is σ = 12669116553216. Its totient is φ = 2100474808320.

The previous prime is 5305220512069. The next prime is 5305220512147. The reversal of 5305220512144 is 4412150225035.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (5305220512147) 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, 30600327 + ... + 30773209.

Almost surely, 2^{5305220512144} 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 5305220512144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6334558276608).

5305220512144 is an abundant number, since it is smaller than the sum of its proper divisors (7363896041072).

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

5305220512144 is a wasteful number, since it uses less digits than its factorization.

5305220512144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173213 (or 173207 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

Adding to 5305220512144 its reverse (4412150225035), we get a palindrome (9717370737179).

The spelling of 5305220512144 in words is "five trillion, three hundred five billion, two hundred twenty million, five hundred twelve thousand, one hundred forty-four".