16835001120 has 864 divisors, whose sum is σ = 71422041600. Its totient is φ = 3668281344.

The previous prime is 16835001109. The next prime is 16835001121. The reversal of 16835001120 is 2110053861.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16835001121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 213101241 + ... + 213101319.

It is an arithmetic number, because the mean of its divisors is an integer number (82664400).

Almost surely, 2^16835001120 is an apocalyptic number.

16835001120 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 16835001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35711020800).

16835001120 is an abundant number, since it is smaller than the sum of its proper divisors (54587040480).

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

16835001120 is an frugal number, since it uses more digits than its factorization.

16835001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 16835001120 its reverse (2110053861), we get a palindrome (18945054981).

The spelling of 16835001120 in words is "sixteen billion, eight hundred thirty-five million, one thousand, one hundred twenty".