167225716000 has 384 divisors, whose sum is σ = 497708789760. Its totient is φ = 53996544000.

The previous prime is 167225715997. The next prime is 167225716027. The reversal of 167225716000 is 617522761.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33289489 + ... + 33294511.

It is an arithmetic number, because the mean of its divisors is an integer number (1296116640).

Almost surely, 2^167225716000 is an apocalyptic number.

167225716000 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 167225716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248854394880).

167225716000 is an abundant number, since it is smaller than the sum of its proper divisors (330483073760).

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

167225716000 is a wasteful number, since it uses less digits than its factorization.

167225716000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5125 (or 5107 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The spelling of 167225716000 in words is "one hundred sixty-seven billion, two hundred twenty-five million, seven hundred sixteen thousand".