87128901810048 has 512 divisors, whose sum is σ = 288103263436800. Its totient is φ = 22784547962880.

The previous prime is 87128901810043. The next prime is 87128901810089. The reversal of 87128901810048 is 84001810982178.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 87128901810048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87128901810043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 170317015 + ... + 170827817.

It is an arithmetic number, because the mean of its divisors is an integer number (562701686400).

Almost surely, 2^{87128901810048} 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 87128901810048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144051631718400).

87128901810048 is an abundant number, since it is smaller than the sum of its proper divisors (200974361626752).

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

87128901810048 is a wasteful number, since it uses less digits than its factorization.

87128901810048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510970 (or 510958 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 57.

The spelling of 87128901810048 in words is "eighty-seven trillion, one hundred twenty-eight billion, nine hundred one million, eight hundred ten thousand, forty-eight".