168560870400 has 1320 divisors, whose sum is σ = 694425180680. Its totient is φ = 40370503680.

The previous prime is 168560870399. The next prime is 168560870407. The reversal of 168560870400 is 4078065861.

It is a happy number.

168560870400 is a `hidden beast` number, since 1 + 6 + 8 + 560 + 87 + 0 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 155223392256 + 13337478144 = 393984^2 + 115488^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (168560870407) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4555699182 + ... + 4555699218.

Almost surely, 2^168560870400 is an apocalyptic number.

168560870400 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 168560870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347212590340).

168560870400 is an abundant number, since it is smaller than the sum of its proper divisors (525864310280).

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

168560870400 is an equidigital number, since it uses as much as digits as its factorization.

168560870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 168560870400 in words is "one hundred sixty-eight billion, five hundred sixty million, eight hundred seventy thousand, four hundred".