16921385285376 has 1152 divisors, whose sum is σ = 57204338171904. Its totient is φ = 4366564392960.

The previous prime is 16921385285269. The next prime is 16921385285377. The reversal of 16921385285376 is 67358258312961.

It is a super-2 number, since 2×16921385285376² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16921385285377) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9015121750 + ... + 9015123626.

It is an arithmetic number, because the mean of its divisors is an integer number (49656543552).

Almost surely, 2^{16921385285376} is an apocalyptic number.

16921385285376 is a gapful number since it is divisible by the number (16) 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 16921385285376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28602169085952).

16921385285376 is an abundant number, since it is smaller than the sum of its proper divisors (40282952886528).

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

16921385285376 is a wasteful number, since it uses less digits than its factorization.

16921385285376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069 (or 2055 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 66.

The spelling of 16921385285376 in words is "sixteen trillion, nine hundred twenty-one billion, three hundred eighty-five million, two hundred eighty-five thousand, three hundred seventy-six".