20871976320 has 320 divisors, whose sum is σ = 80273849040. Its totient is φ = 5137551360.

The previous prime is 20871976319. The next prime is 20871976337. The reversal of 20871976320 is 2367917802.

20871976320 is a `hidden beast` number, since 2 + 0 + 8 + 7 + 1 + 9 + 7 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 658435 + ... + 689405.

Almost surely, 2^20871976320 is an apocalyptic number.

20871976320 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 20871976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40136924520).

20871976320 is an abundant number, since it is smaller than the sum of its proper divisors (59401872720).

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

20871976320 is a wasteful number, since it uses less digits than its factorization.

20871976320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31015 (or 30994 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 20871976320 in words is "twenty billion, eight hundred seventy-one million, nine hundred seventy-six thousand, three hundred twenty".