16268037120 has 528 divisors, whose sum is σ = 62882857440. Its totient is φ = 3864526848.

The previous prime is 16268037109. The next prime is 16268037127. The reversal of 16268037120 is 2173086261.

16268037120 is a `hidden beast` number, since 1 + 6 + 268 + 0 + 371 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (16268037127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14883294 + ... + 14884386.

Almost surely, 2^16268037120 is an apocalyptic number.

16268037120 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 16268037120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31441428720).

16268037120 is an abundant number, since it is smaller than the sum of its proper divisors (46614820320).

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

16268037120 is a wasteful number, since it uses less digits than its factorization.

16268037120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 16268037120 in words is "sixteen billion, two hundred sixty-eight million, thirty-seven thousand, one hundred twenty".