88879769679168 has 336 divisors, whose sum is σ = 280326970699776. Its totient is φ = 26752854343680.

The previous prime is 88879769679149. The next prime is 88879769679187. The reversal of 88879769679168 is 86197696797888.

It is an interprime number because it is at equal distance from previous prime (88879769679149) and next prime (88879769679187).

It is a super-2 number, since 2×88879769679168² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 742877080 + ... + 742996712.

It is an arithmetic number, because the mean of its divisors is an integer number (834306460416).

Almost surely, 2^{88879769679168} 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 88879769679168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140163485349888).

88879769679168 is an abundant number, since it is smaller than the sum of its proper divisors (191447201020608).

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

88879769679168 is a wasteful number, since it uses less digits than its factorization.

88879769679168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121822 (or 121809 counting only the distinct ones).

The product of its digits is 221225582592, while the sum is 99.

The spelling of 88879769679168 in words is "eighty-eight trillion, eight hundred seventy-nine billion, seven hundred sixty-nine million, six hundred seventy-nine thousand, one hundred sixty-eight".