16271661672 has 480 divisors, whose sum is σ = 55829283840. Its totient is φ = 4408992000.

The previous prime is 16271661619. The next prime is 16271661689. The reversal of 16271661672 is 27616617261.

16271661672 is a `hidden beast` number, since 1 + 6 + 27 + 1 + 6 + 616 + 7 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 60042897 + ... + 60043167.

It is an arithmetic number, because the mean of its divisors is an integer number (116311008).

Almost surely, 2^16271661672 is an apocalyptic number.

16271661672 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 16271661672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27914641920).

16271661672 is an abundant number, since it is smaller than the sum of its proper divisors (39557622168).

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

16271661672 is a wasteful number, since it uses less digits than its factorization.

16271661672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 375 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The spelling of 16271661672 in words is "sixteen billion, two hundred seventy-one million, six hundred sixty-one thousand, six hundred seventy-two".