5827348049600 has 504 divisors, whose sum is σ = 18539799077808. Its totient is φ = 1782032179200.

The previous prime is 5827348049599. The next prime is 5827348049639. The reversal of 5827348049600 is 69408437285.

It is a Harshad number since it is a multiple of its sum of digits (56).

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 71 ways as a sum of consecutive naturals, for example, 45643454 + ... + 45770946.

Almost surely, 2^{5827348049600} is an apocalyptic number.

5827348049600 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 5827348049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9269899538904).

5827348049600 is an abundant number, since it is smaller than the sum of its proper divisors (12712451028208).

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

5827348049600 is a wasteful number, since it uses less digits than its factorization.

5827348049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127593 (or 127571 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 56.

The spelling of 5827348049600 in words is "five trillion, eight hundred twenty-seven billion, three hundred forty-eight million, forty-nine thousand, six hundred".