20100808320 has 256 divisors, whose sum is σ = 67810089600. Its totient is φ = 5050515456.

The previous prime is 20100808307. The next prime is 20100808349. The reversal of 20100808320 is 2380800102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7185162 + ... + 7187958.

Almost surely, 2^20100808320 is an apocalyptic number.

20100808320 is a gapful number since it is divisible by the number (20) 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 20100808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33905044800).

20100808320 is an abundant number, since it is smaller than the sum of its proper divisors (47709281280).

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

20100808320 is a wasteful number, since it uses less digits than its factorization.

20100808320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3035 (or 3023 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The spelling of 20100808320 in words is "twenty billion, one hundred million, eight hundred eight thousand, three hundred twenty".