5981402419200 has 936 divisors, whose sum is σ = 23145445587992. Its totient is φ = 1467670855680.

The previous prime is 5981402419199. The next prime is 5981402419219. The reversal of 5981402419200 is 29142041895.

It is a happy number.

5981402419200 is a `hidden beast` number, since 5 + 98 + 140 + 2 + 419 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 3060092473344 + 2921309945856 = 1749312^2 + 1709184^2 .

It is a tau number, because it is divible by the number of its divisors (936).

It is a super-2 number, since 2×5981402419200² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5187685824 + ... + 5187686976.

Almost surely, 2^{5981402419200} is an apocalyptic number.

5981402419200 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 5981402419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11572722793996).

5981402419200 is an abundant number, since it is smaller than the sum of its proper divisors (17164043168792).

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

5981402419200 is a wasteful number, since it uses less digits than its factorization.

5981402419200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 5981402419200 in words is "five trillion, nine hundred eighty-one billion, four hundred two million, four hundred nineteen thousand, two hundred".