21826548443040 has 576 divisors, whose sum is σ = 77726977671168. Its totient is φ = 5100597964800.

The previous prime is 21826548443023. The next prime is 21826548443069. The reversal of 21826548443040 is 4034484562812.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16448038857 + ... + 16448040183.

It is an arithmetic number, because the mean of its divisors is an integer number (134942669568).

Almost surely, 2^{21826548443040} is an apocalyptic number.

21826548443040 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 21826548443040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38863488835584).

21826548443040 is an abundant number, since it is smaller than the sum of its proper divisors (55900429228128).

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

21826548443040 is a wasteful number, since it uses less digits than its factorization.

21826548443040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2021 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 51.

The spelling of 21826548443040 in words is "twenty-one trillion, eight hundred twenty-six billion, five hundred forty-eight million, four hundred forty-three thousand, forty".