21402164373216 has 384 divisors, whose sum is σ = 66061671137280. Its totient is φ = 5999232307200.

The previous prime is 21402164373203. The next prime is 21402164373263. The reversal of 21402164373216 is 61237346120412.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1173805636 + ... + 1173823868.

It is an arithmetic number, because the mean of its divisors is an integer number (172035601920).

Almost surely, 2^{21402164373216} 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 21402164373216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33030835568640).

21402164373216 is an abundant number, since it is smaller than the sum of its proper divisors (44659506764064).

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

21402164373216 is a wasteful number, since it uses less digits than its factorization.

21402164373216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19870 (or 19862 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 21402164373216 in words is "twenty-one trillion, four hundred two billion, one hundred sixty-four million, three hundred seventy-three thousand, two hundred sixteen".