88282172160 has 864 divisors, whose sum is σ = 389983426560. Its totient is φ = 18620596224.

The previous prime is 88282172159. The next prime is 88282172189. The reversal of 88282172160 is 6127128288.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28303081 + ... + 28306199.

Almost surely, 2^88282172160 is an apocalyptic number.

88282172160 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 88282172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194991713280).

88282172160 is an abundant number, since it is smaller than the sum of its proper divisors (301701254400).

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

88282172160 is a wasteful number, since it uses less digits than its factorization.

88282172160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3175 (or 3149 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 88282172160 in words is "eighty-eight billion, two hundred eighty-two million, one hundred seventy-two thousand, one hundred sixty".