5383681459200 has 1980 divisors, whose sum is σ = 22466697022000. Its totient is φ = 1272228249600.

The previous prime is 5383681459199. The next prime is 5383681459253. The reversal of 5383681459200 is 29541863835.

5383681459200 is a `hidden beast` number, since 5 + 3 + 8 + 36 + 8 + 14 + 592 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1980).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 179 ways as a sum of consecutive naturals, for example, 10788940551 + ... + 10788941049.

Almost surely, 2^{5383681459200} is an apocalyptic number.

5383681459200 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 5383681459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11233348511000).

5383681459200 is an abundant number, since it is smaller than the sum of its proper divisors (17083015562800).

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

5383681459200 is a wasteful number, since it uses less digits than its factorization.

5383681459200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 5383681459200 in words is "five trillion, three hundred eighty-three billion, six hundred eighty-one million, four hundred fifty-nine thousand, two hundred".