16421968926720 has 2304 divisors, whose sum is σ = 73768684953600. Its totient is φ = 3416921210880.

The previous prime is 16421968926719. The next prime is 16421968926743. The reversal of 16421968926720 is 2762986912461.

16421968926720 is a `hidden beast` number, since 1 + 6 + 421 + 9 + 68 + 92 + 67 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

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 191 ways as a sum of consecutive naturals, for example, 9179411586 + ... + 9179413374.

It is an arithmetic number, because the mean of its divisors is an integer number (32017658400).

Almost surely, 2^{16421968926720} is an apocalyptic number.

16421968926720 is a gapful number since it is divisible by the number (10) 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 16421968926720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36884342476800).

16421968926720 is an abundant number, since it is smaller than the sum of its proper divisors (57346716026880).

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

16421968926720 is a wasteful number, since it uses less digits than its factorization.

16421968926720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 16421968926720 in words is "sixteen trillion, four hundred twenty-one billion, nine hundred sixty-eight million, nine hundred twenty-six thousand, seven hundred twenty".