167867471560 has 128 divisors (see below), whose sum is σ = 396978278400. Its totient is φ = 63764110080.

The previous prime is 167867471549. The next prime is 167867471573. The reversal of 167867471560 is 65174768761.

It is a happy number.

167867471560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 167867471495 and 167867471504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91679845 + ... + 91681675.

It is an arithmetic number, because the mean of its divisors is an integer number (3101392800).

Almost surely, 2^167867471560 is an apocalyptic number.

167867471560 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 167867471560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198489139200).

167867471560 is an abundant number, since it is smaller than the sum of its proper divisors (229110806840).

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

167867471560 is a wasteful number, since it uses less digits than its factorization.

167867471560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2531 (or 2527 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 58.

The spelling of 167867471560 in words is "one hundred sixty-seven billion, eight hundred sixty-seven million, four hundred seventy-one thousand, five hundred sixty".