20871965400 has 192 divisors, whose sum is σ = 76015134720. Its totient is φ = 4670630400.

The previous prime is 20871965399. The next prime is 20871965447. The reversal of 20871965400 is 456917802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35832 + ... + 207431.

It is an arithmetic number, because the mean of its divisors is an integer number (395912160).

Almost surely, 2^20871965400 is an apocalyptic number.

20871965400 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 20871965400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38007567360).

20871965400 is an abundant number, since it is smaller than the sum of its proper divisors (55143169320).

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

20871965400 is a wasteful number, since it uses less digits than its factorization.

20871965400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243306 (or 243297 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 20871965400 in words is "twenty billion, eight hundred seventy-one million, nine hundred sixty-five thousand, four hundred".