167001600000 has 312 divisors, whose sum is σ = 556696400400. Its totient is φ = 44523520000.

The previous prime is 167001599923. The next prime is 167001600001. The reversal of 167001600000 is 6100761.

It is a self number, because there is not a number n which added to its sum of digits gives 167001600000.

It is not an unprimeable number, because it can be changed into a prime (167001600001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38397826 + ... + 38402174.

Almost surely, 2^167001600000 is an apocalyptic number.

167001600000 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 167001600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278348200200).

167001600000 is an abundant number, since it is smaller than the sum of its proper divisors (389694800400).

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

167001600000 is an frugal number, since it uses more digits than its factorization.

167001600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4401 (or 4359 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

Adding to 167001600000 its reverse (6100761), we get a palindrome (167007700761).

The spelling of 167001600000 in words is "one hundred sixty-seven billion, one million, six hundred thousand".