5387825664000 has 1248 divisors, whose sum is σ = 21323788091424. Its totient is φ = 1300443955200.

The previous prime is 5387825663999. The next prime is 5387825664007. The reversal of 5387825664000 is 4665287835.

5387825664000 is a `hidden beast` number, since 5 + 3 + 8 + 78 + 2 + 566 + 4 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 2684774006784 + 2703051657216 = 1638528^2 + 1644096^2 .

It is a tau number, because it is divible by the number of its divisors (1248).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5387825664007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3174911152 + ... + 3174912848.

It is an arithmetic number, because the mean of its divisors is an integer number (17086368663).

Almost surely, 2^{5387825664000} is an apocalyptic number.

5387825664000 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 5387825664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10661894045712).

5387825664000 is an abundant number, since it is smaller than the sum of its proper divisors (15935962427424).

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

5387825664000 is a wasteful number, since it uses less digits than its factorization.

5387825664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 5387825664000 in words is "five trillion, three hundred eighty-seven billion, eight hundred twenty-five million, six hundred sixty-four thousand".