88167973944960 has 6144 divisors, whose sum is σ = 425763993600000. Its totient is φ = 17184584761344.

The previous prime is 88167973944907. The next prime is 88167973944977. The reversal of 88167973944960 is 6944937976188.

88167973944960 is a `hidden beast` number, since 8 + 8 + 1 + 6 + 7 + 97 + 39 + 4 + 496 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 88167973944960.

It is an unprimeable number.

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 767 ways as a sum of consecutive naturals, for example, 990651392596 + ... + 990651392684.

It is an arithmetic number, because the mean of its divisors is an integer number (69297525000).

Almost surely, 2^{88167973944960} is an apocalyptic number.

88167973944960 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 88167973944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212881996800000).

88167973944960 is an abundant number, since it is smaller than the sum of its proper divisors (337596019655040).

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

88167973944960 is a wasteful number, since it uses less digits than its factorization.

88167973944960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 3950456832, while the sum is 81.

The spelling of 88167973944960 in words is "eighty-eight trillion, one hundred sixty-seven billion, nine hundred seventy-three million, nine hundred forty-four thousand, nine hundred sixty".