88965100224 has 896 divisors, whose sum is σ = 369778483200. Its totient is φ = 20200181760.

The previous prime is 88965100187. The next prime is 88965100307. The reversal of 88965100224 is 42200156988.

It is a self number, because there is not a number n which added to its sum of digits gives 88965100224.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 32863479 + ... + 32866185.

It is an arithmetic number, because the mean of its divisors is an integer number (412699200).

Almost surely, 2^88965100224 is an apocalyptic number.

88965100224 is a gapful number since it is divisible by the number (84) 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 88965100224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184889241600).

88965100224 is an abundant number, since it is smaller than the sum of its proper divisors (280813382976).

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

88965100224 is a wasteful number, since it uses less digits than its factorization.

88965100224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 88965100224 in words is "eighty-eight billion, nine hundred sixty-five million, one hundred thousand, two hundred twenty-four".