16268935968 has 192 divisors, whose sum is σ = 50017564800. Its totient is φ = 5136768000.

The previous prime is 16268935957. The next prime is 16268935979. The reversal of 16268935968 is 86953986261.

16268935968 is a `hidden beast` number, since 16 + 26 + 8 + 9 + 3 + 596 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (16268935957) and next prime (16268935979).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1321843 + ... + 1334093.

It is an arithmetic number, because the mean of its divisors is an integer number (260508150).

Almost surely, 2^16268935968 is an apocalyptic number.

16268935968 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 16268935968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25008782400).

16268935968 is an abundant number, since it is smaller than the sum of its proper divisors (33748628832).

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

16268935968 is a wasteful number, since it uses less digits than its factorization.

16268935968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12352 (or 12338 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 63.

The spelling of 16268935968 in words is "sixteen billion, two hundred sixty-eight million, nine hundred thirty-five thousand, nine hundred sixty-eight".