167980845600 has 576 divisors, whose sum is σ = 624646270080. Its totient is φ = 44095518720.

The previous prime is 167980845577. The next prime is 167980845607. The reversal of 167980845600 is 6548089761.

167980845600 is a `hidden beast` number, since 1 + 6 + 79 + 8 + 0 + 8 + 4 + 560 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (167980845607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117222484 + ... + 117223916.

It is an arithmetic number, because the mean of its divisors is an integer number (1084455330).

Almost surely, 2^167980845600 is an apocalyptic number.

167980845600 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 167980845600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312323135040).

167980845600 is an abundant number, since it is smaller than the sum of its proper divisors (456665424480).

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

167980845600 is an equidigital number, since it uses as much as digits as its factorization.

167980845600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 167980845600 in words is "one hundred sixty-seven billion, nine hundred eighty million, eight hundred forty-five thousand, six hundred".