5819009632128 has 768 divisors, whose sum is σ = 21681314403840. Its totient is φ = 1509235752960.

The previous prime is 5819009632127. The next prime is 5819009632181. The reversal of 5819009632128 is 8212369009185.

5819009632128 is a `hidden beast` number, since 581 + 9 + 0 + 0 + 9 + 6 + 32 + 1 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5819009632127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2244121200 + ... + 2244123792.

It is an arithmetic number, because the mean of its divisors is an integer number (28230878130).

Almost surely, 2^{5819009632128} 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 5819009632128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10840657201920).

5819009632128 is an abundant number, since it is smaller than the sum of its proper divisors (15862304771712).

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

5819009632128 is a wasteful number, since it uses less digits than its factorization.

5819009632128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3577 (or 3553 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 5819009632128 in words is "five trillion, eight hundred nineteen billion, nine million, six hundred thirty-two thousand, one hundred twenty-eight".