21799052771328 has 1824 divisors, whose sum is σ = 82076668477440. Its totient is φ = 5641359851520.

The previous prime is 21799052771311. The next prime is 21799052771341. The reversal of 21799052771328 is 82317725099712.

21799052771328 is a `hidden beast` number, since 2 + 1 + 7 + 9 + 9 + 0 + 527 + 71 + 32 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1824).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 262639189975 + ... + 262639190057.

Almost surely, 2^{21799052771328} is an apocalyptic number.

21799052771328 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 21799052771328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41038334238720).

21799052771328 is an abundant number, since it is smaller than the sum of its proper divisors (60277615706112).

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

21799052771328 is an frugal number, since it uses more digits than its factorization.

21799052771328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 63.

The spelling of 21799052771328 in words is "twenty-one trillion, seven hundred ninety-nine billion, fifty-two million, seven hundred seventy-one thousand, three hundred twenty-eight".