16882612920 has 320 divisors, whose sum is σ = 57959193600. Its totient is φ = 4406814720.

The previous prime is 16882612907. The next prime is 16882612921. The reversal of 16882612920 is 2921628861.

16882612920 is a `hidden beast` number, since 1 + 6 + 8 + 8 + 2 + 612 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16882612921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36621490 + ... + 36621950.

It is an arithmetic number, because the mean of its divisors is an integer number (181122480).

Almost surely, 2^16882612920 is an apocalyptic number.

16882612920 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 16882612920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28979596800).

16882612920 is an abundant number, since it is smaller than the sum of its proper divisors (41076580680).

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

16882612920 is a wasteful number, since it uses less digits than its factorization.

16882612920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 16882612920 in words is "sixteen billion, eight hundred eighty-two million, six hundred twelve thousand, nine hundred twenty".