20099124864 has 576 divisors, whose sum is σ = 74199565440. Its totient is φ = 5280712704.

The previous prime is 20099124853. The next prime is 20099124959. The reversal of 20099124864 is 46842199002.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 76422397 + ... + 76422659.

It is an arithmetic number, because the mean of its divisors is an integer number (128818690).

Almost surely, 2^20099124864 is an apocalyptic number.

20099124864 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 20099124864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37099782720).

20099124864 is an abundant number, since it is smaller than the sum of its proper divisors (54100440576).

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

20099124864 is an frugal number, since it uses more digits than its factorization.

20099124864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 20099124864 in words is "twenty billion, ninety-nine million, one hundred twenty-four thousand, eight hundred sixty-four".