5409155828736 has 704 divisors, whose sum is σ = 18464267520000. Its totient is φ = 1548824739840.

The previous prime is 5409155828717. The next prime is 5409155828759. The reversal of 5409155828736 is 6378285519045.

5409155828736 is a `hidden beast` number, since 5 + 4 + 0 + 9 + 1 + 558 + 2 + 8 + 73 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 414519940 + ... + 414532988.

It is a 1-persistent number, because it is pandigital, but 2⋅5409155828736 = 10818311657472 is not.

Almost surely, 2^{5409155828736} 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 5409155828736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9232133760000).

5409155828736 is an abundant number, since it is smaller than the sum of its proper divisors (13055111691264).

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

5409155828736 is a wasteful number, since it uses less digits than its factorization.

5409155828736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13165 (or 13141 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 5409155828736 in words is "five trillion, four hundred nine billion, one hundred fifty-five million, eight hundred twenty-eight thousand, seven hundred thirty-six".