168785613360000 has 2880 divisors, whose sum is σ = 761944877591040. Its totient is φ = 35097753600000.

The previous prime is 168785613359989. The next prime is 168785613360103. The reversal of 168785613360000 is 63316587861.

168785613360000 is a `hidden beast` number, since 1 + 6 + 8 + 78 + 561 + 3 + 3 + 6 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×168785613360000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 60474958605 + ... + 60474961395.

It is an arithmetic number, because the mean of its divisors is an integer number (264564193608).

Almost surely, 2^{168785613360000} is an apocalyptic number.

168785613360000 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 168785613360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380972438795520).

168785613360000 is an abundant number, since it is smaller than the sum of its proper divisors (593159264231040).

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

168785613360000 is a wasteful number, since it uses less digits than its factorization.

168785613360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935 (or 2892 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 168785613360000 in words is "one hundred sixty-eight trillion, seven hundred eighty-five billion, six hundred thirteen million, three hundred sixty thousand".