16886122240 has 288 divisors, whose sum is σ = 45560563776. Its totient is φ = 5955256320.

The previous prime is 16886122213. The next prime is 16886122303. The reversal of 16886122240 is 4222168861.

It is a happy number.

It is a super-2 number, since 2×16886122240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 16886122193 and 16886122202.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 36158487 + ... + 36158953.

It is an arithmetic number, because the mean of its divisors is an integer number (158196402).

Almost surely, 2^16886122240 is an apocalyptic number.

16886122240 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 16886122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22780281888).

16886122240 is an abundant number, since it is smaller than the sum of its proper divisors (28674441536).

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

16886122240 is a wasteful number, since it uses less digits than its factorization.

16886122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The spelling of 16886122240 in words is "sixteen billion, eight hundred eighty-six million, one hundred twenty-two thousand, two hundred forty".