16400987568 has 720 divisors, whose sum is σ = 61128587520. Its totient is φ = 4224794112.

The previous prime is 16400987563. The next prime is 16400987593. The reversal of 16400987568 is 86578900461.

16400987568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (16400987563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 83253646 + ... + 83253842.

It is an arithmetic number, because the mean of its divisors is an integer number (84900816).

Almost surely, 2^16400987568 is an apocalyptic number.

16400987568 is a gapful number since it is divisible by the number (18) 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 16400987568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30564293760).

16400987568 is an abundant number, since it is smaller than the sum of its proper divisors (44727599952).

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

16400987568 is a wasteful number, since it uses less digits than its factorization.

16400987568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 16400987568 in words is "sixteen billion, four hundred million, nine hundred eighty-seven thousand, five hundred sixty-eight".