21146779069416 has 1280 divisors, whose sum is σ = 81470721024000. Its totient is φ = 5050092096000.

The previous prime is 21146779069397. The next prime is 21146779069417. The reversal of 21146779069416 is 61496097764112.

21146779069416 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 6 + 77 + 90 + 69 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (21146779069417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 8994800641 + ... + 8994802991.

It is an arithmetic number, because the mean of its divisors is an integer number (63649000800).

Almost surely, 2^{21146779069416} is an apocalyptic number.

21146779069416 is a gapful number since it is divisible by the number (26) 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 21146779069416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40735360512000).

21146779069416 is an abundant number, since it is smaller than the sum of its proper divisors (60323941954584).

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

21146779069416 is a wasteful number, since it uses less digits than its factorization.

21146779069416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2697 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 21146779069416 in words is "twenty-one trillion, one hundred forty-six billion, seven hundred seventy-nine million, sixty-nine thousand, four hundred sixteen".