5283427538400 has 3456 divisors, whose sum is σ = 22980929126400. Its totient is φ = 1043767296000.

The previous prime is 5283427538339. The next prime is 5283427538497. The reversal of 5283427538400 is 48357243825.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 575 ways as a sum of consecutive naturals, for example, 66878829561 + ... + 66878829639.

It is an arithmetic number, because the mean of its divisors is an integer number (6649574400).

Almost surely, 2^{5283427538400} is an apocalyptic number.

5283427538400 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 5283427538400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11490464563200).

5283427538400 is an abundant number, since it is smaller than the sum of its proper divisors (17697501588000).

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

5283427538400 is a wasteful number, since it uses less digits than its factorization.

5283427538400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 51.

The spelling of 5283427538400 in words is "five trillion, two hundred eighty-three billion, four hundred twenty-seven million, five hundred thirty-eight thousand, four hundred".