88180679628288 has 1280 divisors, whose sum is σ = 303032804659200. Its totient is φ = 25076532510720.

The previous prime is 88180679628277. The next prime is 88180679628311. The reversal of 88180679628288 is 88282697608188.

88180679628288 is a `hidden beast` number, since 88 + 180 + 6 + 7 + 9 + 6 + 282 + 88 = 666.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 60439121703 + ... + 60439123161.

It is an arithmetic number, because the mean of its divisors is an integer number (236744378640).

Almost surely, 2^{88180679628288} 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 88180679628288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151516402329600).

88180679628288 is an abundant number, since it is smaller than the sum of its proper divisors (214852125030912).

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

88180679628288 is a wasteful number, since it uses less digits than its factorization.

88180679628288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 1838 counting only the distinct ones).

The product of its (nonzero) digits is 2378170368, while the sum is 81.

The spelling of 88180679628288 in words is "eighty-eight trillion, one hundred eighty billion, six hundred seventy-nine million, six hundred twenty-eight thousand, two hundred eighty-eight".