5395692800000 has 288 divisors, whose sum is σ = 13670986329000. Its totient is φ = 2128527360000.

The previous prime is 5395692799961. The next prime is 5395692800011. The reversal of 5395692800000 is 82965935.

It can be written as a sum of positive squares in 12 ways, for example, as 873163162624 + 4522529637376 = 934432^2 + 2126624^2 .

It is a super-2 number, since 2×5395692800000² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 467194226 + ... + 467205774.

Almost surely, 2^{5395692800000} is an apocalyptic number.

5395692800000 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 5395692800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6835493164500).

5395692800000 is an abundant number, since it is smaller than the sum of its proper divisors (8275293529000).

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

5395692800000 is an frugal number, since it uses more digits than its factorization.

5395692800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11669 (or 11629 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 47.

The spelling of 5395692800000 in words is "five trillion, three hundred ninety-five billion, six hundred ninety-two million, eight hundred thousand".