1679211591168 has 160 divisors (see below), whose sum is σ = 4685405472000. Its totient is φ = 533407440896.

The previous prime is 1679211591163. The next prime is 1679211591181. The reversal of 1679211591168 is 8611951129761.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1679211591163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9414883 + ... + 9591581.

It is an arithmetic number, because the mean of its divisors is an integer number (29283784200).

Almost surely, 2^{1679211591168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1679211591168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2342702736000).

1679211591168 is an abundant number, since it is smaller than the sum of its proper divisors (3006193880832).

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

1679211591168 is a wasteful number, since it uses less digits than its factorization.

1679211591168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177012 (or 176996 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 57.

The spelling of 1679211591168 in words is "one trillion, six hundred seventy-nine billion, two hundred eleven million, five hundred ninety-one thousand, one hundred sixty-eight".