168106561600 has 168 divisors, whose sum is σ = 417660676488. Its totient is φ = 66593587200.

The previous prime is 168106561577. The next prime is 168106561613. The reversal of 168106561600 is 6165601861.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 11879256064 + 156227305536 = 108992^2 + 395256^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75962094 + ... + 75964306.

Almost surely, 2^168106561600 is an apocalyptic number.

168106561600 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 168106561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208830338244).

168106561600 is an abundant number, since it is smaller than the sum of its proper divisors (249554114888).

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

168106561600 is a wasteful number, since it uses less digits than its factorization.

168106561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2673 (or 2658 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The spelling of 168106561600 in words is "one hundred sixty-eight billion, one hundred six million, five hundred sixty-one thousand, six hundred".