5345362713600 has 2112 divisors, whose sum is σ = 25585862400000. Its totient is φ = 1061258526720.

The previous prime is 5345362713599. The next prime is 5345362713611. The reversal of 5345362713600 is 63172635435.

It is a happy number.

5345362713600 is a `hidden beast` number, since 5 + 3 + 4 + 5 + 3 + 6 + 27 + 13 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1069283901 + ... + 1069288899.

Almost surely, 2^{5345362713600} is an apocalyptic number.

5345362713600 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 5345362713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12792931200000).

5345362713600 is an abundant number, since it is smaller than the sum of its proper divisors (20240499686400).

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

5345362713600 is a wasteful number, since it uses less digits than its factorization.

5345362713600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5075 (or 5046 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The spelling of 5345362713600 in words is "five trillion, three hundred forty-five billion, three hundred sixty-two million, seven hundred thirteen thousand, six hundred".