5345298739200 has 1248 divisors, whose sum is σ = 21689549922816. Its totient is φ = 1133594542080.

The previous prime is 5345298739117. The next prime is 5345298739201. The reversal of 5345298739200 is 29378925435.

It is a happy number.

It is a super-2 number, since 2×5345298739200² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5345298739201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2668645399 + ... + 2668647401.

Almost surely, 2^{5345298739200} is an apocalyptic number.

5345298739200 is a gapful number since it is divisible by the number (50) 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 5345298739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10844774961408).

5345298739200 is an abundant number, since it is smaller than the sum of its proper divisors (16344251183616).

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

5345298739200 is a wasteful number, since it uses less digits than its factorization.

5345298739200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2137 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 57.

It can be divided in two parts, 534529 and 8739200, that added together give a palindrome (9273729).

The spelling of 5345298739200 in words is "five trillion, three hundred forty-five billion, two hundred ninety-eight million, seven hundred thirty-nine thousand, two hundred".