8728580008008 has 384 divisors, whose sum is σ = 29392598476800. Its totient is φ = 2282719076352.

The previous prime is 8728580007989. The next prime is 8728580008009. The reversal of 8728580008008 is 8008000858278.

It is a super-3 number, since 3×8728580008008³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (8728580008009) 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, 924730953 + ... + 924740391.

It is an arithmetic number, because the mean of its divisors is an integer number (76543225200).

Almost surely, 2^{8728580008008} 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 8728580008008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14696299238400).

8728580008008 is an abundant number, since it is smaller than the sum of its proper divisors (20664018468792).

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

8728580008008 is a wasteful number, since it uses less digits than its factorization.

8728580008008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12429 (or 12422 counting only the distinct ones).

The product of its (nonzero) digits is 2293760, while the sum is 54.

The spelling of 8728580008008 in words is "eight trillion, seven hundred twenty-eight billion, five hundred eighty million, eight thousand, eight".