21112976761632 has 216 divisors, whose sum is σ = 69889330867356. Its totient is φ = 6028232684544.

The previous prime is 21112976761573. The next prime is 21112976761633. The reversal of 21112976761632 is 23616767921112.

21112976761632 is a `hidden beast` number, since 2 + 1 + 1 + 12 + 9 + 7 + 6 + 7 + 616 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21026590146576 + 86386615056 = 4585476^2 + 293916^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21112976761633) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20568178 + ... + 21570254.

Almost surely, 2^{21112976761632} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21112976761632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34944665433678).

21112976761632 is an abundant number, since it is smaller than the sum of its proper divisors (48776354105724).

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

21112976761632 is a wasteful number, since it uses less digits than its factorization.

21112976761632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003600 (or 1003582 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The spelling of 21112976761632 in words is "twenty-one trillion, one hundred twelve billion, nine hundred seventy-six million, seven hundred sixty-one thousand, six hundred thirty-two".