16167809952 has 240 divisors, whose sum is σ = 56217490560. Its totient is φ = 4459940352.

The previous prime is 16167809921. The next prime is 16167809963. The reversal of 16167809952 is 25990876161.

16167809952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×16167809952² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 510813 + ... + 541539.

It is an arithmetic number, because the mean of its divisors is an integer number (234239544).

Almost surely, 2^16167809952 is an apocalyptic number.

16167809952 is a gapful number since it is divisible by the number (12) 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 16167809952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28108745280).

16167809952 is an abundant number, since it is smaller than the sum of its proper divisors (40049680608).

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

16167809952 is a wasteful number, since it uses less digits than its factorization.

16167809952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30785 (or 30768 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 16167809952 in words is "sixteen billion, one hundred sixty-seven million, eight hundred nine thousand, nine hundred fifty-two".