5035312005344 has 96 divisors (see below), whose sum is σ = 10429185279744. Its totient is φ = 2388447959040.

The previous prime is 5035312005319. The next prime is 5035312005359. The reversal of 5035312005344 is 4435002135305.

It is a happy number.

It is a super-2 number, since 2×5035312005344² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180573227 + ... + 180601109.

It is an arithmetic number, because the mean of its divisors is an integer number (108637346664).

Almost surely, 2^{5035312005344} 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 5035312005344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5214592639872).

5035312005344 is an abundant number, since it is smaller than the sum of its proper divisors (5393873274400).

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

5035312005344 is a wasteful number, since it uses less digits than its factorization.

5035312005344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29920 (or 29912 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 35.

The spelling of 5035312005344 in words is "five trillion, thirty-five billion, three hundred twelve million, five thousand, three hundred forty-four".