5424637132800 has 1260 divisors, whose sum is σ = 20757126703656. Its totient is φ = 1404606873600.

The previous prime is 5424637132777. The next prime is 5424637132813. The reversal of 5424637132800 is 82317364245.

5424637132800 is a `hidden beast` number, since 5 + 4 + 2 + 4 + 637 + 1 + 3 + 2 + 8 + 0 + 0 = 666.

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 83 ways as a sum of consecutive naturals, for example, 11048140555 + ... + 11048141045.

Almost surely, 2^{5424637132800} is an apocalyptic number.

5424637132800 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 5424637132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10378563351828).

5424637132800 is an abundant number, since it is smaller than the sum of its proper divisors (15332489570856).

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

5424637132800 is an frugal number, since it uses more digits than its factorization.

5424637132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 5424637132800 in words is "five trillion, four hundred twenty-four billion, six hundred thirty-seven million, one hundred thirty-two thousand, eight hundred".