88989788160 has 1344 divisors, whose sum is σ = 397024467840. Its totient is φ = 18632540160.

The previous prime is 88989788143. The next prime is 88989788177. The reversal of 88989788160 is 6188798988.

It is an interprime number because it is at equal distance from previous prime (88989788143) and next prime (88989788177).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 679311295 + ... + 679311425.

It is an arithmetic number, because the mean of its divisors is an integer number (295405110).

Almost surely, 2^88989788160 is an apocalyptic number.

88989788160 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 88989788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198512233920).

88989788160 is an abundant number, since it is smaller than the sum of its proper divisors (308034679680).

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

88989788160 is a wasteful number, since it uses less digits than its factorization.

88989788160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 72.

The spelling of 88989788160 in words is "eighty-eight billion, nine hundred eighty-nine million, seven hundred eighty-eight thousand, one hundred sixty".