16769739866880 has 1728 divisors, whose sum is σ = 73400040000000. Its totient is φ = 3207557283840.

The previous prime is 16769739866819. The next prime is 16769739866917. The reversal of 16769739866880 is 8866893796761.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a junction number, because it is equal to n+sod(n) for n = 16769739866793 and 16769739866802.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13426532496 + ... + 13426533744.

It is an arithmetic number, because the mean of its divisors is an integer number (42476875000).

Almost surely, 2^{16769739866880} is an apocalyptic number.

16769739866880 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 16769739866880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36700020000000).

16769739866880 is an abundant number, since it is smaller than the sum of its proper divisors (56630300133120).

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

16769739866880 is a wasteful number, since it uses less digits than its factorization.

16769739866880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 7900913664, while the sum is 84.

The spelling of 16769739866880 in words is "sixteen trillion, seven hundred sixty-nine billion, seven hundred thirty-nine million, eight hundred sixty-six thousand, eight hundred eighty".