5197338432000 has 4480 divisors, whose sum is σ = 24615517006080. Its totient is φ = 1074954240000.

The previous prime is 5197338431993. The next prime is 5197338432017. The reversal of 5197338432000 is 2348337915.

5197338432000 is a `hidden beast` number, since 519 + 7 + 33 + 84 + 3 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 126764351980 + ... + 126764352020.

It is an arithmetic number, because the mean of its divisors is an integer number (5494535046).

Almost surely, 2^{5197338432000} is an apocalyptic number.

5197338432000 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 5197338432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12307758503040).

5197338432000 is an abundant number, since it is smaller than the sum of its proper divisors (19418178574080).

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

5197338432000 is a wasteful number, since it uses less digits than its factorization.

5197338432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 5197338432000 in words is "five trillion, one hundred ninety-seven billion, three hundred thirty-eight million, four hundred thirty-two thousand".