16879217288472 has 768 divisors, whose sum is σ = 63905084006400. Its totient is φ = 3885665955840.

The previous prime is 16879217288471. The next prime is 16879217288477. The reversal of 16879217288472 is 27488271297861.

16879217288472 is a `hidden beast` number, since 1 + 6 + 8 + 7 + 9 + 2 + 1 + 72 + 88 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 16879217288472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16879217288471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 299020683 + ... + 299077125.

It is an arithmetic number, because the mean of its divisors is an integer number (83209744800).

Almost surely, 2^{16879217288472} is an apocalyptic number.

16879217288472 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 16879217288472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31952542003200).

16879217288472 is an abundant number, since it is smaller than the sum of its proper divisors (47025866717928).

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

16879217288472 is a wasteful number, since it uses less digits than its factorization.

16879217288472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56676 (or 56669 counting only the distinct ones).

The product of its digits is 303464448, while the sum is 72.

The spelling of 16879217288472 in words is "sixteen trillion, eight hundred seventy-nine billion, two hundred seventeen million, two hundred eighty-eight thousand, four hundred seventy-two".