5431716403200 has 1728 divisors, whose sum is σ = 21761740596960. Its totient is φ = 1337720832000.

The previous prime is 5431716403187. The next prime is 5431716403213. The reversal of 5431716403200 is 23046171345.

5431716403200 is a `hidden beast` number, since 5 + 4 + 3 + 1 + 7 + 1 + 640 + 3 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5431716403187) and next prime (5431716403213).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 12901938990 + ... + 12901939410.

Almost surely, 2^{5431716403200} is an apocalyptic number.

5431716403200 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 5431716403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10880870298480).

5431716403200 is an abundant number, since it is smaller than the sum of its proper divisors (16330024193760).

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

5431716403200 is a wasteful number, since it uses less digits than its factorization.

5431716403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 5431716403200 in words is "five trillion, four hundred thirty-one billion, seven hundred sixteen million, four hundred three thousand, two hundred".