167028729120 has 1296 divisors, whose sum is σ = 693424053504. Its totient is φ = 36535910400.

The previous prime is 167028729067. The next prime is 167028729143. The reversal of 167028729120 is 21927820761.

It is a happy number.

167028729120 is a `hidden beast` number, since 1 + 67 + 0 + 287 + 291 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1561016107 + ... + 1561016213.

It is an arithmetic number, because the mean of its divisors is an integer number (535049424).

Almost surely, 2^167028729120 is an apocalyptic number.

167028729120 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 167028729120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346712026752).

167028729120 is an abundant number, since it is smaller than the sum of its proper divisors (526395324384).

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

167028729120 is a wasteful number, since it uses less digits than its factorization.

167028729120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 167028729120 in words is "one hundred sixty-seven billion, twenty-eight million, seven hundred twenty-nine thousand, one hundred twenty".