5438177353728 has 448 divisors, whose sum is σ = 18441396817920. Its totient is φ = 1551442968576.

The previous prime is 5438177353717. The next prime is 5438177353747. The reversal of 5438177353728 is 8273537718345.

5438177353728 is a `hidden beast` number, since 5 + 4 + 3 + 8 + 1 + 7 + 73 + 537 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (118540800) is a multiple of the sum of its prime factors (5292).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1218500425 + ... + 1218504887.

Almost surely, 2^{5438177353728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5438177353728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9220698408960).

5438177353728 is an abundant number, since it is smaller than the sum of its proper divisors (13003219464192).

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

5438177353728 is an equidigital number, since it uses as much as digits as its factorization.

5438177353728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5292 (or 5262 counting only the distinct ones).

The product of its digits is 118540800, while the sum is 63.

The spelling of 5438177353728 in words is "five trillion, four hundred thirty-eight billion, one hundred seventy-seven million, three hundred fifty-three thousand, seven hundred twenty-eight".