88005321449728 has 288 divisors, whose sum is σ = 189835040747520. Its totient is φ = 40634594058240.

The previous prime is 88005321449701. The next prime is 88005321449767. The reversal of 88005321449728 is 82794412350088.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7674653851 + ... + 7674665317.

It is an arithmetic number, because the mean of its divisors is an integer number (659149447040).

Almost surely, 2^{88005321449728} 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 88005321449728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94917520373760).

88005321449728 is an abundant number, since it is smaller than the sum of its proper divisors (101829719297792).

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

88005321449728 is a wasteful number, since it uses less digits than its factorization.

88005321449728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12053 (or 12039 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 61.

The spelling of 88005321449728 in words is "eighty-eight trillion, five billion, three hundred twenty-one million, four hundred forty-nine thousand, seven hundred twenty-eight".