5487419683200 has 1152 divisors, whose sum is σ = 22719173379840. Its totient is φ = 1153861632000.

The previous prime is 5487419683171. The next prime is 5487419683211. The reversal of 5487419683200 is 23869147845.

It is a happy number.

It is a super-2 number, since 2×5487419683200² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2024129845 + ... + 2024132555.

It is an arithmetic number, because the mean of its divisors is an integer number (19721504670).

It is a 1-persistent number, because it is pandigital, but 2⋅5487419683200 = 10974839366400 is not.

Almost surely, 2^{5487419683200} is an apocalyptic number.

5487419683200 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 5487419683200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11359586689920).

5487419683200 is an abundant number, since it is smaller than the sum of its proper divisors (17231753696640).

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

5487419683200 is a wasteful number, since it uses less digits than its factorization.

5487419683200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3096 (or 3072 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 5487419683200 in words is "five trillion, four hundred eighty-seven billion, four hundred nineteen million, six hundred eighty-three thousand, two hundred".