21116424600 has 240 divisors, whose sum is σ = 73542856200. Its totient is φ = 5615516160.

The previous prime is 21116424577. The next prime is 21116424629. The reversal of 21116424600 is 642461112.

21116424600 is a `hidden beast` number, since 2 + 1 + 1 + 16 + 42 + 4 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6624207 + ... + 6627393.

Almost surely, 2^21116424600 is an apocalyptic number.

21116424600 is a gapful number since it is divisible by the number (20) 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 21116424600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36771428100).

21116424600 is an abundant number, since it is smaller than the sum of its proper divisors (52426431600).

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

21116424600 is a wasteful number, since it uses less digits than its factorization.

21116424600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3624 (or 3606 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 21116424600 its reverse (642461112), we get a palindrome (21758885712).

The spelling of 21116424600 in words is "twenty-one billion, one hundred sixteen million, four hundred twenty-four thousand, six hundred".