20871940320 has 576 divisors, whose sum is σ = 91876861440. Its totient is φ = 4186828800.

The previous prime is 20871940303. The next prime is 20871940337. The reversal of 20871940320 is 2304917802.

It is an interprime number because it is at equal distance from previous prime (20871940303) and next prime (20871940337).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3212275 + ... + 3218765.

It is an arithmetic number, because the mean of its divisors is an integer number (159508440).

Almost surely, 2^20871940320 is an apocalyptic number.

20871940320 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 20871940320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45938430720).

20871940320 is an abundant number, since it is smaller than the sum of its proper divisors (71004921120).

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

20871940320 is a wasteful number, since it uses less digits than its factorization.

20871940320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6559 (or 6548 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

It can be divided in two parts, 20871 and 940320, that added together give a triangular number (961191 = T₁₃₈₆).

The spelling of 20871940320 in words is "twenty billion, eight hundred seventy-one million, nine hundred forty thousand, three hundred twenty".