21899821160448 has 1536 divisors, whose sum is σ = 88599184128000. Its totient is φ = 5168556933120.

The previous prime is 21899821160423. The next prime is 21899821160507. The reversal of 21899821160448 is 84406112899812.

21899821160448 is a `hidden beast` number, since 2 + 1 + 8 + 9 + 9 + 8 + 2 + 11 + 604 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2099086240 + ... + 2099096672.

It is an arithmetic number, because the mean of its divisors is an integer number (57681760500).

Almost surely, 2^{21899821160448} is an apocalyptic number.

21899821160448 is a gapful number since it is divisible by the number (28) 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 21899821160448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44299592064000).

21899821160448 is an abundant number, since it is smaller than the sum of its proper divisors (66699362967552).

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

21899821160448 is a wasteful number, since it uses less digits than its factorization.

21899821160448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10528 (or 10502 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 63.

The spelling of 21899821160448 in words is "twenty-one trillion, eight hundred ninety-nine billion, eight hundred twenty-one million, one hundred sixty thousand, four hundred forty-eight".