16428967916480 has 672 divisors, whose sum is σ = 50829350817600. Its totient is φ = 5011771097088.

The previous prime is 16428967916419. The next prime is 16428967916549. The reversal of 16428967916480 is 8461976982461.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2577898574 + ... + 2577904946.

Almost surely, 2^{16428967916480} is an apocalyptic number.

16428967916480 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 16428967916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25414675408800).

16428967916480 is an abundant number, since it is smaller than the sum of its proper divisors (34400382901120).

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

16428967916480 is a wasteful number, since it uses less digits than its factorization.

16428967916480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6949 (or 6932 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 71.

The spelling of 16428967916480 in words is "sixteen trillion, four hundred twenty-eight billion, nine hundred sixty-seven million, nine hundred sixteen thousand, four hundred eighty".