88884784872 has 288 divisors, whose sum is σ = 274189897800. Its totient is φ = 25853313024.

The previous prime is 88884784853. The next prime is 88884784943. The reversal of 88884784872 is 27848748888.

88884784872 is a `hidden beast` number, since 8 + 8 + 88 + 478 + 4 + 8 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 63567519876 + 25317264996 = 252126^2 + 159114^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 88884784872.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44066808 + ... + 44068824.

Almost surely, 2^88884784872 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 88884784872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137094948900).

88884784872 is an abundant number, since it is smaller than the sum of its proper divisors (185305112928).

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

88884784872 is a wasteful number, since it uses less digits than its factorization.

88884784872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177 (or 2147 counting only the distinct ones).

The product of its digits is 411041792, while the sum is 72.

The spelling of 88884784872 in words is "eighty-eight billion, eight hundred eighty-four million, seven hundred eighty-four thousand, eight hundred seventy-two".