168978700800 has 1680 divisors, whose sum is σ = 776435721600. Its totient is φ = 35473489920.

The previous prime is 168978700799. The next prime is 168978700811. The reversal of 168978700800 is 8007879861.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 849139101 + ... + 849139299.

It is an arithmetic number, because the mean of its divisors is an integer number (462164120).

Almost surely, 2^168978700800 is an apocalyptic number.

168978700800 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 168978700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388217860800).

168978700800 is an abundant number, since it is smaller than the sum of its proper divisors (607457020800).

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

168978700800 is an equidigital number, since it uses as much as digits as its factorization.

168978700800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 168978700800 in words is "one hundred sixty-eight billion, nine hundred seventy-eight million, seven hundred thousand, eight hundred".