8877886668800 has 180 divisors, whose sum is σ = 22043922741225. Its totient is φ = 3546839777280.

The previous prime is 8877886668787. The next prime is 8877886668803. The reversal of 8877886668800 is 88666887788.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 8700328935424 + 177557733376 = 2949632^2 + 421376^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2106880.

It is a Harshad number since it is a multiple of its sum of digits (80).

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (8877886668803) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10787225189 + ... + 10787226011.

Almost surely, 2^{8877886668800} is an apocalyptic number.

8877886668800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8877886668800

8877886668800 is an abundant number, since it is smaller than the sum of its proper divisors (13166036072425).

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

8877886668800 is an frugal number, since it uses more digits than its factorization.

8877886668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 2774532096, while the sum is 80.

The spelling of 8877886668800 in words is "eight trillion, eight hundred seventy-seven billion, eight hundred eighty-six million, six hundred sixty-eight thousand, eight hundred".