88856086168320 has 576 divisors, whose sum is σ = 291435801431040. Its totient is φ = 23065152454656.

The previous prime is 88856086168313. The next prime is 88856086168429. The reversal of 88856086168320 is 2386168065888.

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 63 ways as a sum of consecutive naturals, for example, 43578265861 + ... + 43578267899.

It is an arithmetic number, because the mean of its divisors is an integer number (505964933040).

Almost surely, 2^{88856086168320} is an apocalyptic number.

88856086168320 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 88856086168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145717900715520).

88856086168320 is an abundant number, since it is smaller than the sum of its proper divisors (202579715262720).

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

88856086168320 is a wasteful number, since it uses less digits than its factorization.

88856086168320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4092 (or 4078 counting only the distinct ones).

The product of its (nonzero) digits is 212336640, while the sum is 69.

The spelling of 88856086168320 in words is "eighty-eight trillion, eight hundred fifty-six billion, eighty-six million, one hundred sixty-eight thousand, three hundred twenty".