16889177898720 has 480 divisors, whose sum is σ = 61076239031808. Its totient is φ = 4392885353472.

The previous prime is 16889177898709. The next prime is 16889177898787. The reversal of 16889177898720 is 2789877198861.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×16889177898720² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 16889177898720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 405121717 + ... + 405163403.

Almost surely, 2^{16889177898720} is an apocalyptic number.

16889177898720 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 16889177898720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30538119515904).

16889177898720 is an abundant number, since it is smaller than the sum of its proper divisors (44187061133088).

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

16889177898720 is a wasteful number, since it uses less digits than its factorization.

16889177898720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42484 (or 42467 counting only the distinct ones).

The product of its (nonzero) digits is 1365590016, while the sum is 81.

The spelling of 16889177898720 in words is "sixteen trillion, eight hundred eighty-nine billion, one hundred seventy-seven million, eight hundred ninety-eight thousand, seven hundred twenty".