16267998960 has 320 divisors, whose sum is σ = 58327695360. Its totient is φ = 4162959360.

The previous prime is 16267998941. The next prime is 16267999001. The reversal of 16267998960 is 6989976261.

It is a happy number.

It is a super-2 number, since 2×16267998960² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8502964 + ... + 8504876.

It is an arithmetic number, because the mean of its divisors is an integer number (182274048).

Almost surely, 2^16267998960 is an apocalyptic number.

16267998960 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 16267998960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29163847680).

16267998960 is an abundant number, since it is smaller than the sum of its proper divisors (42059696400).

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

16267998960 is a wasteful number, since it uses less digits than its factorization.

16267998960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2093 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 16267998960 in words is "sixteen billion, two hundred sixty-seven million, nine hundred ninety-eight thousand, nine hundred sixty".