167665225200 has 480 divisors, whose sum is σ = 613959989760. Its totient is φ = 38715494400.

The previous prime is 167665225187. The next prime is 167665225207. The reversal of 167665225200 is 2522566761.

It is a super-2 number, since 2×167665225200² (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 (167665225207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81667374 + ... + 81669426.

It is an arithmetic number, because the mean of its divisors is an integer number (1279083312).

Almost surely, 2^167665225200 is an apocalyptic number.

167665225200 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 167665225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306979994880).

167665225200 is an abundant number, since it is smaller than the sum of its proper divisors (446294764560).

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

167665225200 is a wasteful number, since it uses less digits than its factorization.

167665225200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2377 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 167665225200 in words is "one hundred sixty-seven billion, six hundred sixty-five million, two hundred twenty-five thousand, two hundred".