16291123200 has 468 divisors, whose sum is σ = 63695575008. Its totient is φ = 3946905600.

The previous prime is 16291123159. The next prime is 16291123253. The reversal of 16291123200 is 232119261.

16291123200 is a `hidden beast` number, since 1 + 629 + 1 + 1 + 2 + 32 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10136797 + ... + 10138403.

It is an arithmetic number, because the mean of its divisors is an integer number (136101656).

Almost surely, 2^16291123200 is an apocalyptic number.

16291123200 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 16291123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31847787504).

16291123200 is an abundant number, since it is smaller than the sum of its proper divisors (47404451808).

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

16291123200 is a wasteful number, since it uses less digits than its factorization.

16291123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 16291123200 in words is "sixteen billion, two hundred ninety-one million, one hundred twenty-three thousand, two hundred".