167725701120 has 384 divisors, whose sum is σ = 570055449600. Its totient is φ = 41981313024.

The previous prime is 167725701113. The next prime is 167725701137. The reversal of 167725701120 is 21107527761.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×167725701120³ (a number of 35 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 65954569 + ... + 65957111.

It is an arithmetic number, because the mean of its divisors is an integer number (1484519400).

Almost surely, 2^167725701120 is an apocalyptic number.

167725701120 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 167725701120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285027724800).

167725701120 is an abundant number, since it is smaller than the sum of its proper divisors (402329748480).

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

167725701120 is a wasteful number, since it uses less digits than its factorization.

167725701120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2705 (or 2685 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 39.

The spelling of 167725701120 in words is "one hundred sixty-seven billion, seven hundred twenty-five million, seven hundred one thousand, one hundred twenty".