16828877520 has 960 divisors, whose sum is σ = 74000263680. Its totient is φ = 3527193600.

The previous prime is 16828877519. The next prime is 16828877531. The reversal of 16828877520 is 2577882861.

16828877520 is a `hidden beast` number, since 16 + 8 + 28 + 87 + 7 + 520 = 666.

It is a super-2 number, since 2×16828877520² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 111449445 + ... + 111449595.

It is an arithmetic number, because the mean of its divisors is an integer number (77083608).

Almost surely, 2^16828877520 is an apocalyptic number.

16828877520 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 16828877520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37000131840).

16828877520 is an abundant number, since it is smaller than the sum of its proper divisors (57171386160).

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

16828877520 is a wasteful number, since it uses less digits than its factorization.

16828877520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 16828877520 in words is "sixteen billion, eight hundred twenty-eight million, eight hundred seventy-seven thousand, five hundred twenty".