88920784896 has 128 divisors (see below), whose sum is σ = 244775846400. Its totient is φ = 28683141120.

The previous prime is 88920784879. The next prime is 88920784907. The reversal of 88920784896 is 69848702988.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 88920784896.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3032835 + ... + 3062013.

It is an arithmetic number, because the mean of its divisors is an integer number (1912311300).

Almost surely, 2^88920784896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88920784896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122387923200).

88920784896 is an abundant number, since it is smaller than the sum of its proper divisors (155855061504).

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

88920784896 is an equidigital number, since it uses as much as digits as its factorization.

88920784896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29243 (or 29215 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 69.

The spelling of 88920784896 in words is "eighty-eight billion, nine hundred twenty million, seven hundred eighty-four thousand, eight hundred ninety-six".