20871234360 has 320 divisors, whose sum is σ = 72076118400. Its totient is φ = 5415081984.

The previous prime is 20871234353. The next prime is 20871234383. The reversal of 20871234360 is 6343217802.

It is a happy number.

20871234360 is a `hidden beast` number, since 20 + 87 + 123 + 436 + 0 = 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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18684522 + ... + 18685638.

It is an arithmetic number, because the mean of its divisors is an integer number (225237870).

Almost surely, 2^20871234360 is an apocalyptic number.

20871234360 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 20871234360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36038059200).

20871234360 is an abundant number, since it is smaller than the sum of its proper divisors (51204884040).

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

20871234360 is a wasteful number, since it uses less digits than its factorization.

20871234360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1279 counting only the distinct ones).

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

The spelling of 20871234360 in words is "twenty billion, eight hundred seventy-one million, two hundred thirty-four thousand, three hundred sixty".