21116068380 has 288 divisors, whose sum is σ = 73796486400. Its totient is φ = 4833561600.

The previous prime is 21116068343. The next prime is 21116068417. The reversal of 21116068380 is 8386061112.

21116068380 is a `hidden beast` number, since 2 + 1 + 11 + 606 + 8 + 38 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21116068343) and next prime (21116068417).

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 14257240 + ... + 14258720.

It is an arithmetic number, because the mean of its divisors is an integer number (256237800).

Almost surely, 2^21116068380 is an apocalyptic number.

21116068380 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 21116068380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36898243200).

21116068380 is an abundant number, since it is smaller than the sum of its proper divisors (52680418020).

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

21116068380 is a wasteful number, since it uses less digits than its factorization.

21116068380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905 (or 1900 counting only the distinct ones).

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

The spelling of 21116068380 in words is "twenty-one billion, one hundred sixteen million, sixty-eight thousand, three hundred eighty".