68121290160 has 480 divisors, whose sum is σ = 285762567168. Its totient is φ = 14128404480.

The previous prime is 68121290099. The next prime is 68121290213. The reversal of 68121290160 is 6109212186.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 45626374 + ... + 45627866.

Almost surely, 2^68121290160 is an apocalyptic number.

68121290160 is a gapful number since it is divisible by the number (60) 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 68121290160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142881283584).

68121290160 is an abundant number, since it is smaller than the sum of its proper divisors (217641277008).

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

68121290160 is a wasteful number, since it uses less digits than its factorization.

68121290160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2353 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

It can be divided in two parts, 68121 and 290160, that added together give a triangular number (358281 = T₈₄₆).

The spelling of 68121290160 in words is "sixty-eight billion, one hundred twenty-one million, two hundred ninety thousand, one hundred sixty".