20838307320 has 256 divisors, whose sum is σ = 70576128000. Its totient is φ = 5468456448.

The previous prime is 20838307297. The next prime is 20838307337. The reversal of 20838307320 is 2370383802.

20838307320 is a `hidden beast` number, since 20 + 8 + 3 + 8 + 307 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 19064694 + ... + 19065786.

It is an arithmetic number, because the mean of its divisors is an integer number (275688000).

Almost surely, 2^20838307320 is an apocalyptic number.

20838307320 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 20838307320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35288064000).

20838307320 is an abundant number, since it is smaller than the sum of its proper divisors (49737820680).

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

20838307320 is a wasteful number, since it uses less digits than its factorization.

20838307320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 20838307320 in words is "twenty billion, eight hundred thirty-eight million, three hundred seven thousand, three hundred twenty".