167620518912 has 352 divisors, whose sum is σ = 562030608384. Its totient is φ = 43145625600.

The previous prime is 167620518911. The next prime is 167620518943. The reversal of 167620518912 is 219815026761.

It is a happy number.

167620518912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (167620518911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26726337 + ... + 26732607.

Almost surely, 2^167620518912 is an apocalyptic number.

167620518912 is a gapful number since it is divisible by the number (12) 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 167620518912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281015304192).

167620518912 is an abundant number, since it is smaller than the sum of its proper divisors (394410089472).

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

167620518912 is a wasteful number, since it uses less digits than its factorization.

167620518912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6425 (or 6407 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 167620518912 in words is "one hundred sixty-seven billion, six hundred twenty million, five hundred eighteen thousand, nine hundred twelve".