5398946611200 has 1536 divisors, whose sum is σ = 21648569760000. Its totient is φ = 1313939128320.

The previous prime is 5398946611187. The next prime is 5398946611207. The reversal of 5398946611200 is 21166498935.

5398946611200 is a `hidden beast` number, since 5 + 398 + 9 + 46 + 6 + 1 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5398946611207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12187238179 + ... + 12187238621.

Almost surely, 2^{5398946611200} is an apocalyptic number.

5398946611200 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 5398946611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10824284880000).

5398946611200 is an abundant number, since it is smaller than the sum of its proper divisors (16249623148800).

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

5398946611200 is a wasteful number, since it uses less digits than its factorization.

5398946611200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 5398946611200 in words is "five trillion, three hundred ninety-eight billion, nine hundred forty-six million, six hundred eleven thousand, two hundred".