16268366400 has 672 divisors, whose sum is σ = 63527683968. Its totient is φ = 3593011200.

The previous prime is 16268366381. The next prime is 16268366419. The reversal of 16268366400 is 466386261.

It is an interprime number because it is at equal distance from previous prime (16268366381) and next prime (16268366419).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94036714 + ... + 94036886.

It is an arithmetic number, because the mean of its divisors is an integer number (94535244).

Almost surely, 2^16268366400 is an apocalyptic number.

16268366400 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 16268366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31763841984).

16268366400 is an abundant number, since it is smaller than the sum of its proper divisors (47259317568).

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

16268366400 is a wasteful number, since it uses less digits than its factorization.

16268366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 16268366400 in words is "sixteen billion, two hundred sixty-eight million, three hundred sixty-six thousand, four hundred".