21761216712 has 48 divisors (see below), whose sum is σ = 58957402140. Its totient is φ = 7251182208.

The previous prime is 21761216683. The next prime is 21761216731.

21761216712 is a `hidden beast` number, since 2 + 17 + 612 + 16 + 7 + 12 = 666.

21761216712 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 21294397476 + 466819236 = 145926^2 + 21606^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158218 + ... + 261830.

Almost surely, 2^21761216712 is an apocalyptic number.

It is an amenable number.

21761216712 is an abundant number, since it is smaller than the sum of its proper divisors (37196185428).

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

21761216712 is a wasteful number, since it uses less digits than its factorization.

21761216712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106542 (or 106535 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The spelling of 21761216712 in words is "twenty-one billion, seven hundred sixty-one million, two hundred sixteen thousand, seven hundred twelve".