16107834288 has 640 divisors, whose sum is σ = 58496256000. Its totient is φ = 3771629568.

The previous prime is 16107834263. The next prime is 16107834289. The reversal of 16107834288 is 88243870161.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (16107834289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69132220 + ... + 69132452.

It is an arithmetic number, because the mean of its divisors is an integer number (91400400).

Almost surely, 2^16107834288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16107834288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29248128000).

16107834288 is an abundant number, since it is smaller than the sum of its proper divisors (42388421712).

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

16107834288 is a wasteful number, since it uses less digits than its factorization.

16107834288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 16107834288 in words is "sixteen billion, one hundred seven million, eight hundred thirty-four thousand, two hundred eighty-eight".