8872355119680 has 504 divisors, whose sum is σ = 33061802672808. Its totient is φ = 2182871089152.

The previous prime is 8872355119679. The next prime is 8872355119721. The reversal of 8872355119680 is 869115532788.

8872355119680 is a `hidden beast` number, since 8 + 8 + 7 + 2 + 3 + 551 + 19 + 68 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 6535712702016 + 2336642417664 = 2556504^2 + 1528608^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1437281074 + ... + 1437287246.

It is an arithmetic number, because the mean of its divisors is an integer number (65598814827).

Almost surely, 2^{8872355119680} is an apocalyptic number.

8872355119680 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 8872355119680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16530901336404).

8872355119680 is an abundant number, since it is smaller than the sum of its proper divisors (24189447553128).

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

8872355119680 is a wasteful number, since it uses less digits than its factorization.

8872355119680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9175 (or 9149 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 8872355119680 in words is "eight trillion, eight hundred seventy-two billion, three hundred fifty-five million, one hundred nineteen thousand, six hundred eighty".