20088964224 has 320 divisors, whose sum is σ = 70536998400. Its totient is φ = 5553930240.

The previous prime is 20088964219. The next prime is 20088964241. The reversal of 20088964224 is 42246988002.

It is a self number, because there is not a number n which added to its sum of digits gives 20088964224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2245392 + ... + 2254320.

It is an arithmetic number, because the mean of its divisors is an integer number (220428120).

Almost surely, 2^20088964224 is an apocalyptic number.

20088964224 is a gapful number since it is divisible by the number (24) 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 20088964224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35268499200).

20088964224 is an abundant number, since it is smaller than the sum of its proper divisors (50448034176).

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

20088964224 is an equidigital number, since it uses as much as digits as its factorization.

20088964224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8993 (or 8972 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 20088964224 in words is "twenty billion, eighty-eight million, nine hundred sixty-four thousand, two hundred twenty-four".