16197838272 has 1260 divisors, whose sum is σ = 67102402752. Its totient is φ = 3832012800.

The previous prime is 16197838253. The next prime is 16197838273. The reversal of 16197838272 is 27283879161.

It is a happy number.

16197838272 is a `hidden beast` number, since 1 + 6 + 197 + 8 + 382 + 72 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

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

Its product of digits (2032128) is a multiple of the sum of its prime factors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16197838273) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 522510897 + ... + 522510927.

Almost surely, 2^16197838272 is an apocalyptic number.

16197838272 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 16197838272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33551201376).

16197838272 is an abundant number, since it is smaller than the sum of its proper divisors (50904564480).

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

16197838272 is a wasteful number, since it uses less digits than its factorization.

16197838272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 71 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The spelling of 16197838272 in words is "sixteen billion, one hundred ninety-seven million, eight hundred thirty-eight thousand, two hundred seventy-two".