16939100160 has 384 divisors, whose sum is σ = 60713452800. Its totient is φ = 4479713280.

The previous prime is 16939100141. The next prime is 16939100161. The reversal of 16939100160 is 6100193961.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×16939100160² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16939100161) 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 31 ways as a sum of consecutive naturals, for example, 54466405 + ... + 54466715.

It is an arithmetic number, because the mean of its divisors is an integer number (158107950).

Almost surely, 2^16939100160 is an apocalyptic number.

16939100160 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 16939100160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30356726400).

16939100160 is an abundant number, since it is smaller than the sum of its proper divisors (43774352640).

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

16939100160 is a wasteful number, since it uses less digits than its factorization.

16939100160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The spelling of 16939100160 in words is "sixteen billion, nine hundred thirty-nine million, one hundred thousand, one hundred sixty".