5382705600000 has 720 divisors, whose sum is σ = 19871174507184. Its totient is φ = 1401845760000.

The previous prime is 5382705599989. The next prime is 5382705600001. The reversal of 5382705600000 is 65072835.

5382705600000 is a `hidden beast` number, since 538 + 2 + 70 + 56 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5382705600001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 619195654 + ... + 619204346.

Almost surely, 2^{5382705600000} is an apocalyptic number.

5382705600000 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 5382705600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9935587253592).

5382705600000 is an abundant number, since it is smaller than the sum of its proper divisors (14488468907184).

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

5382705600000 is an frugal number, since it uses more digits than its factorization.

5382705600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8785 (or 8746 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 5382705600000 in words is "five trillion, three hundred eighty-two billion, seven hundred five million, six hundred thousand".