5189920363200 has 336 divisors, whose sum is σ = 17534332175360. Its totient is φ = 1343174676480.

The previous prime is 5189920363169. The next prime is 5189920363247. The reversal of 5189920363200 is 23630299815.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5189920363200.

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 47 ways as a sum of consecutive naturals, for example, 32324721 + ... + 32484879.

Almost surely, 2^{5189920363200} is an apocalyptic number.

5189920363200 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 5189920363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8767166087680).

5189920363200 is an abundant number, since it is smaller than the sum of its proper divisors (12344411812160).

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

5189920363200 is a wasteful number, since it uses less digits than its factorization.

5189920363200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160384 (or 160369 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 5189920363200 in words is "five trillion, one hundred eighty-nine billion, nine hundred twenty million, three hundred sixty-three thousand, two hundred".