21771735336 has 160 divisors (see below), whose sum is σ = 66324673800. Its totient is φ = 6632409600.

The previous prime is 21771735329. The next prime is 21771735379. The reversal of 21771735336 is 63353717712.

21771735336 is a `hidden beast` number, since 217 + 71 + 7 + 35 + 336 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21695522436 + 76212900 = 147294^2 + 8730^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21771735291 and 21771735300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 838030 + ... + 863618.

Almost surely, 2^21771735336 is an apocalyptic number.

21771735336 is a gapful number since it is divisible by the number (26) 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 21771735336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33162336900).

21771735336 is an abundant number, since it is smaller than the sum of its proper divisors (44552938464).

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

21771735336 is a wasteful number, since it uses less digits than its factorization.

21771735336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25721 (or 25708 counting only the distinct ones).

The product of its digits is 555660, while the sum is 45.

The spelling of 21771735336 in words is "twenty-one billion, seven hundred seventy-one million, seven hundred thirty-five thousand, three hundred thirty-six".