88851115120 has 80 divisors (see below), whose sum is σ = 217702628640. Its totient is φ = 33630999552.

The previous prime is 88851115081. The next prime is 88851115121. The reversal of 88851115120 is 2151115888.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×88851115120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88851115121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1299714 + ... + 1366366.

It is an arithmetic number, because the mean of its divisors is an integer number (2721282858).

Almost surely, 2^88851115120 is an apocalyptic number.

88851115120 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 88851115120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108851314320).

88851115120 is an abundant number, since it is smaller than the sum of its proper divisors (128851513520).

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

88851115120 is a wasteful number, since it uses less digits than its factorization.

88851115120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67562 (or 67556 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 40.

The spelling of 88851115120 in words is "eighty-eight billion, eight hundred fifty-one million, one hundred fifteen thousand, one hundred twenty".