21813760500 has 192 divisors, whose sum is σ = 72792964608. Its totient is φ = 4972492800.

The previous prime is 21813760481. The next prime is 21813760517. The reversal of 21813760500 is 506731812.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4165884 + ... + 4171116.

It is an arithmetic number, because the mean of its divisors is an integer number (379130024).

Almost surely, 2^21813760500 is an apocalyptic number.

21813760500 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 21813760500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36396482304).

21813760500 is an abundant number, since it is smaller than the sum of its proper divisors (50979204108).

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

21813760500 is a wasteful number, since it uses less digits than its factorization.

21813760500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5659 (or 5647 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 21813760500 in words is "twenty-one billion, eight hundred thirteen million, seven hundred sixty thousand, five hundred".