88099138080 has 480 divisors, whose sum is σ = 339851635200. Its totient is φ = 21396234240.

The previous prime is 88099138051. The next prime is 88099138087. The reversal of 88099138080 is 8083199088.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×88099138080³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (88099138087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6823471 + ... + 6836369.

It is an arithmetic number, because the mean of its divisors is an integer number (708024240).

Almost surely, 2^88099138080 is an apocalyptic number.

88099138080 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 88099138080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169925817600).

88099138080 is an abundant number, since it is smaller than the sum of its proper divisors (251752497120).

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

88099138080 is a wasteful number, since it uses less digits than its factorization.

88099138080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12974 (or 12957 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 88099138080 in words is "eighty-eight billion, ninety-nine million, one hundred thirty-eight thousand, eighty".