8803186872480 has 3072 divisors, whose sum is σ = 43207268106240. Its totient is φ = 1614820147200.

The previous prime is 8803186872479. The next prime is 8803186872517. The reversal of 8803186872480 is 842786813088.

8803186872480 is a `hidden beast` number, since 8 + 8 + 0 + 3 + 1 + 86 + 8 + 72 + 480 = 666.

It is a super-2 number, since 2×8803186872480² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 13003229902 + ... + 13003230578.

It is an arithmetic number, because the mean of its divisors is an integer number (14064865920).

Almost surely, 2^{8803186872480} is an apocalyptic number.

8803186872480 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 8803186872480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21603634053120).

8803186872480 is an abundant number, since it is smaller than the sum of its proper divisors (34404081233760).

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

8803186872480 is a wasteful number, since it uses less digits than its factorization.

8803186872480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 63.

The spelling of 8803186872480 in words is "eight trillion, eight hundred three billion, one hundred eighty-six million, eight hundred seventy-two thousand, four hundred eighty".