167218349920 has 192 divisors, whose sum is σ = 426259169280. Its totient is φ = 61808947200.

The previous prime is 167218349911. The next prime is 167218349933. The reversal of 167218349920 is 29943812761.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103926076 + ... + 103927684.

It is an arithmetic number, because the mean of its divisors is an integer number (2220099840).

Almost surely, 2^167218349920 is an apocalyptic number.

167218349920 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 167218349920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213129584640).

167218349920 is an abundant number, since it is smaller than the sum of its proper divisors (259040819360).

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

167218349920 is a wasteful number, since it uses less digits than its factorization.

167218349920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2589 (or 2581 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 52.

The spelling of 167218349920 in words is "one hundred sixty-seven billion, two hundred eighteen million, three hundred forty-nine thousand, nine hundred twenty".