88988594872320 has 1792 divisors, whose sum is σ = 375593229365760. Its totient is φ = 19704840192000.

The previous prime is 88988594872291. The next prime is 88988594872327. The reversal of 88988594872320 is 2327849588988.

88988594872320 is a `hidden beast` number, since 8 + 8 + 9 + 88 + 59 + 487 + 2 + 3 + 2 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 88988594872320.

It is not an unprimeable number, because it can be changed into a prime (88988594872327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15340213420 + ... + 15340219220.

It is an arithmetic number, because the mean of its divisors is an integer number (209594436030).

Almost surely, 2^{88988594872320} is an apocalyptic number.

88988594872320 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 88988594872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187796614682880).

88988594872320 is an abundant number, since it is smaller than the sum of its proper divisors (286604634493440).

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

88988594872320 is a wasteful number, since it uses less digits than its factorization.

88988594872320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5962 (or 5932 counting only the distinct ones).

The product of its (nonzero) digits is 4459069440, while the sum is 81.

The spelling of 88988594872320 in words is "eighty-eight trillion, nine hundred eighty-eight billion, five hundred ninety-four million, eight hundred seventy-two thousand, three hundred twenty".