21211624980 has 192 divisors, whose sum is σ = 81220769280. Its totient is φ = 4475409408.

The previous prime is 21211624969. The next prime is 21211624981. The reversal of 21211624980 is 8942611212.

21211624980 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 162 + 498 + 0 = 666.

It is a super-3 number, since 3×21211624980³ (a number of 32 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21211624981) 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 63 ways as a sum of consecutive naturals, for example, 166689 + ... + 264968.

It is an arithmetic number, because the mean of its divisors is an integer number (423024840).

Almost surely, 2^21211624980 is an apocalyptic number.

21211624980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21211624980 is an abundant number, since it is smaller than the sum of its proper divisors (60009144300).

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

21211624980 is a wasteful number, since it uses less digits than its factorization.

21211624980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431695 (or 431687 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 21211624980 in words is "twenty-one billion, two hundred eleven million, six hundred twenty-four thousand, nine hundred eighty".