21755716190208 has 2880 divisors, whose sum is σ = 90025270013952. Its totient is φ = 5068050923520.

The previous prime is 21755716190207. The next prime is 21755716190227. The reversal of 21755716190208 is 80209161755712.

21755716190208 is a `hidden beast` number, since 2 + 1 + 7 + 5 + 571 + 61 + 9 + 0 + 2 + 0 + 8 = 666.

It is a super-2 number, since 2×21755716190208² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (21755716190207) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 211220545485 + ... + 211220545587.

Almost surely, 2^{21755716190208} is an apocalyptic number.

21755716190208 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 21755716190208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45012635006976).

21755716190208 is an abundant number, since it is smaller than the sum of its proper divisors (68269553823744).

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

21755716190208 is a wasteful number, since it uses less digits than its factorization.

21755716190208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 54.

The spelling of 21755716190208 in words is "twenty-one trillion, seven hundred fifty-five billion, seven hundred sixteen million, one hundred ninety thousand, two hundred eight".