88942398160896 has 480 divisors, whose sum is σ = 303339585024000. Its totient is φ = 25229170704384.

The previous prime is 88942398160843. The next prime is 88942398160897. The reversal of 88942398160896 is 69806189324988.

88942398160896 is a `hidden beast` number, since 8 + 8 + 9 + 423 + 98 + 16 + 0 + 8 + 96 = 666.

It is a super-3 number, since 3×88942398160896³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (88942398160897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 430320745 + ... + 430527383.

It is an arithmetic number, because the mean of its divisors is an integer number (631957468800).

Almost surely, 2^{88942398160896} 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 88942398160896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151669792512000).

88942398160896 is an abundant number, since it is smaller than the sum of its proper divisors (214397186863104).

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

88942398160896 is a wasteful number, since it uses less digits than its factorization.

88942398160896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206822 (or 206790 counting only the distinct ones).

The product of its (nonzero) digits is 2579890176, while the sum is 81.

The spelling of 88942398160896 in words is "eighty-eight trillion, nine hundred forty-two billion, three hundred ninety-eight million, one hundred sixty thousand, eight hundred ninety-six".