5437440057600 has 1080 divisors, whose sum is σ = 20638087702848. Its totient is φ = 1412005478400.

The previous prime is 5437440057589. The next prime is 5437440057617. The reversal of 5437440057600 is 67500447345.

5437440057600 is a `hidden beast` number, since 5 + 4 + 3 + 74 + 4 + 0 + 0 + 576 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3383595997 + ... + 3383597603.

Almost surely, 2^{5437440057600} is an apocalyptic number.

5437440057600 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 5437440057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10319043851424).

5437440057600 is an abundant number, since it is smaller than the sum of its proper divisors (15200647645248).

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

5437440057600 is a wasteful number, since it uses less digits than its factorization.

5437440057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 5437440057600 in words is "five trillion, four hundred thirty-seven billion, four hundred forty million, fifty-seven thousand, six hundred".