167516160000 has 1200 divisors, whose sum is σ = 687886805760. Its totient is φ = 35389440000.

The previous prime is 167516159947. The next prime is 167516160001. The reversal of 167516160000 is 61615761.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×167516160000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167516160001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4085759980 + ... + 4085760020.

Almost surely, 2^167516160000 is an apocalyptic number.

167516160000 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 167516160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343943402880).

167516160000 is an abundant number, since it is smaller than the sum of its proper divisors (520370645760).

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

167516160000 is an frugal number, since it uses more digits than its factorization.

167516160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

Adding to 167516160000 its reverse (61615761), we get a palindrome (167577775761).

The spelling of 167516160000 in words is "one hundred sixty-seven billion, five hundred sixteen million, one hundred sixty thousand".