5796535449600 has 1728 divisors, whose sum is σ = 24385139251200. Its totient is φ = 1288671068160.

The previous prime is 5796535449599. The next prime is 5796535449647. The reversal of 5796535449600 is 69445356975.

5796535449600 is a `hidden beast` number, since 5 + 7 + 9 + 6 + 535 + 4 + 4 + 96 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 24253286281 + ... + 24253286519.

It is an arithmetic number, because the mean of its divisors is an integer number (14111770400).

Almost surely, 2^{5796535449600} is an apocalyptic number.

5796535449600 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 5796535449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12192569625600).

5796535449600 is an abundant number, since it is smaller than the sum of its proper divisors (18588603801600).

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

5796535449600 is a wasteful number, since it uses less digits than its factorization.

5796535449600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 122472000, while the sum is 63.

The spelling of 5796535449600 in words is "five trillion, seven hundred ninety-six billion, five hundred thirty-five million, four hundred forty-nine thousand, six hundred".