16775109120 has 640 divisors, whose sum is σ = 70426920960. Its totient is φ = 3300065280.

The previous prime is 16775109049. The next prime is 16775109137. The reversal of 16775109120 is 2190157761.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11235094 + ... + 11236586.

It is an arithmetic number, because the mean of its divisors is an integer number (110042064).

Almost surely, 2^16775109120 is an apocalyptic number.

16775109120 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 16775109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35213460480).

16775109120 is an abundant number, since it is smaller than the sum of its proper divisors (53651811840).

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

16775109120 is a wasteful number, since it uses less digits than its factorization.

16775109120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 39.

The spelling of 16775109120 in words is "sixteen billion, seven hundred seventy-five million, one hundred nine thousand, one hundred twenty".