5358576384000 has 3840 divisors, whose sum is σ = 25229812608000. Its totient is φ = 1103619686400.

The previous prime is 5358576383977. The next prime is 5358576384097. The reversal of 5358576384000 is 4836758535.

5358576384000 is a `hidden beast` number, since 5 + 35 + 8 + 576 + 38 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 79978751967 + ... + 79978752033.

It is an arithmetic number, because the mean of its divisors is an integer number (6570263700).

Almost surely, 2^{5358576384000} is an apocalyptic number.

5358576384000 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 5358576384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12614906304000).

5358576384000 is an abundant number, since it is smaller than the sum of its proper divisors (19871236224000).

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

5358576384000 is a wasteful number, since it uses less digits than its factorization.

5358576384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 5358576384000 in words is "five trillion, three hundred fifty-eight billion, five hundred seventy-six million, three hundred eighty-four thousand".