5437141386600 has 768 divisors, whose sum is σ = 21200663070720. Its totient is φ = 1119809433600.

The previous prime is 5437141386587. The next prime is 5437141386617. The reversal of 5437141386600 is 66831417345.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5437141386600.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4257745162 + ... + 4257746438.

It is an arithmetic number, because the mean of its divisors is an integer number (27605030040).

Almost surely, 2^{5437141386600} is an apocalyptic number.

5437141386600 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 5437141386600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10600331535360).

5437141386600 is an abundant number, since it is smaller than the sum of its proper divisors (15763521684120).

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

5437141386600 is a wasteful number, since it uses less digits than its factorization.

5437141386600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2058 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 5437141386600 in words is "five trillion, four hundred thirty-seven billion, one hundred forty-one million, three hundred eighty-six thousand, six hundred".