167428955460000 has 960 divisors, whose sum is σ = 607741027318656. Its totient is φ = 40084070400000.

The previous prime is 167428955459993. The next prime is 167428955460029. The reversal of 167428955460000 is 64559824761.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10585372092 + ... + 10585387908.

Almost surely, 2^{167428955460000} is an apocalyptic number.

167428955460000 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 167428955460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303870513659328).

167428955460000 is an abundant number, since it is smaller than the sum of its proper divisors (440312071858656).

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

167428955460000 is a wasteful number, since it uses less digits than its factorization.

167428955460000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16235 (or 16212 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 57.

The spelling of 167428955460000 in words is "one hundred sixty-seven trillion, four hundred twenty-eight billion, nine hundred fifty-five million, four hundred sixty thousand".