167252046573960 has 320 divisors, whose sum is σ = 577733348847600. Its totient is φ = 43366013466624.

The previous prime is 167252046573929. The next prime is 167252046573967. The reversal of 167252046573960 is 69375640252761.

167252046573960 is a `hidden beast` number, since 1 + 6 + 7 + 2 + 52 + 0 + 4 + 6 + 573 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 164693537556804 + 2558509017156 = 12833298^2 + 1599534^2 .

It is not an unprimeable number, because it can be changed into a prime (167252046573967) 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, 178513606 + ... + 179448074.

Almost surely, 2^{167252046573960} is an apocalyptic number.

167252046573960 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 167252046573960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288866674423800).

167252046573960 is an abundant number, since it is smaller than the sum of its proper divisors (410481302273640).

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

167252046573960 is a wasteful number, since it uses less digits than its factorization.

167252046573960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936022 (or 936009 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 63.

The spelling of 167252046573960 in words is "one hundred sixty-seven trillion, two hundred fifty-two billion, forty-six million, five hundred seventy-three thousand, nine hundred sixty".