16400867256 has 128 divisors (see below), whose sum is σ = 45904320000. Its totient is φ = 5425588224.

The previous prime is 16400867251. The next prime is 16400867267. The reversal of 16400867256 is 65276800461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16400867251) 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 31 ways as a sum of consecutive naturals, for example, 25506471 + ... + 25507113.

It is an arithmetic number, because the mean of its divisors is an integer number (358627500).

Almost surely, 2^16400867256 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 16400867256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22952160000).

16400867256 is an abundant number, since it is smaller than the sum of its proper divisors (29503452744).

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

16400867256 is a wasteful number, since it uses less digits than its factorization.

16400867256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 16400867256 in words is "sixteen billion, four hundred million, eight hundred sixty-seven thousand, two hundred fifty-six".