21818528160 has 768 divisors, whose sum is σ = 85136002560. Its totient is φ = 4624220160.

The previous prime is 21818528119. The next prime is 21818528167. The reversal of 21818528160 is 6182581812.

It is not an unprimeable number, because it can be changed into a prime (21818528167) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 193084264 + ... + 193084376.

It is an arithmetic number, because the mean of its divisors is an integer number (110854170).

Almost surely, 2^21818528160 is an apocalyptic number.

21818528160 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 21818528160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42568001280).

21818528160 is an abundant number, since it is smaller than the sum of its proper divisors (63317474400).

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

21818528160 is a wasteful number, since it uses less digits than its factorization.

21818528160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 42.

The spelling of 21818528160 in words is "twenty-one billion, eight hundred eighteen million, five hundred twenty-eight thousand, one hundred sixty".