5392446259200 has 1920 divisors, whose sum is σ = 24115681497600. Its totient is φ = 1026765619200.

The previous prime is 5392446259127. The next prime is 5392446259253. The reversal of 5392446259200 is 29526442935.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39360921532 + ... + 39360921668.

It is an arithmetic number, because the mean of its divisors is an integer number (12560250780).

Almost surely, 2^{5392446259200} is an apocalyptic number.

5392446259200 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 5392446259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12057840748800).

5392446259200 is an abundant number, since it is smaller than the sum of its proper divisors (18723235238400).

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

5392446259200 is a wasteful number, since it uses less digits than its factorization.

5392446259200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 51.

The spelling of 5392446259200 in words is "five trillion, three hundred ninety-two billion, four hundred forty-six million, two hundred fifty-nine thousand, two hundred".