108167589060960 has 384 divisors, whose sum is σ = 400322347407360. Its totient is φ = 24203724595200.

The previous prime is 108167589060953. The next prime is 108167589060997. The reversal of 108167589060960 is 69060985761801.

It is a super-2 number, since 2×108167589060960² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 108167589060891 and 108167589060900.

It is a congruent number.

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, 1248586926 + ... + 1248673554.

It is an arithmetic number, because the mean of its divisors is an integer number (1042506113040).

Almost surely, 2^{108167589060960} is an apocalyptic number.

108167589060960 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 108167589060960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200161173703680).

108167589060960 is an abundant number, since it is smaller than the sum of its proper divisors (292154758346400).

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

108167589060960 is a wasteful number, since it uses less digits than its factorization.

108167589060960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104862 (or 104854 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 66.

The spelling of 108167589060960 in words is "one hundred eight trillion, one hundred sixty-seven billion, five hundred eighty-nine million, sixty thousand, nine hundred sixty".