5313748144320 has 1512 divisors, whose sum is σ = 23916414714192. Its totient is φ = 1078328401920.

The previous prime is 5313748144303. The next prime is 5313748144361. The reversal of 5313748144320 is 234418473135.

It is a happy number.

5313748144320 is a `hidden beast` number, since 5 + 3 + 137 + 4 + 81 + 4 + 432 + 0 = 666.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 734243742 + ... + 734250978.

Almost surely, 2^{5313748144320} 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 5313748144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11958207357096).

5313748144320 is an abundant number, since it is smaller than the sum of its proper divisors (18602666569872).

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

5313748144320 is a wasteful number, since it uses less digits than its factorization.

5313748144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7339 (or 7308 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 5313748144320 in words is "five trillion, three hundred thirteen billion, seven hundred forty-eight million, one hundred forty-four thousand, three hundred twenty".