167980677120 has 960 divisors, whose sum is σ = 639307468800. Its totient is φ = 42122280960.

The previous prime is 167980677113. The next prime is 167980677131. The reversal of 167980677120 is 21776089761.

167980677120 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 (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1208494011 + ... + 1208494149.

It is an arithmetic number, because the mean of its divisors is an integer number (665945280).

Almost surely, 2^167980677120 is an apocalyptic number.

167980677120 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 167980677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319653734400).

167980677120 is an abundant number, since it is smaller than the sum of its proper divisors (471326791680).

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

167980677120 is a wasteful number, since it uses less digits than its factorization.

167980677120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 167980677120 in words is "one hundred sixty-seven billion, nine hundred eighty million, six hundred seventy-seven thousand, one hundred twenty".