68886263160 has 1536 divisors, whose sum is σ = 297300326400. Its totient is φ = 14050713600.

The previous prime is 68886263111. The next prime is 68886263209. The reversal of 68886263160 is 6136268886.

68886263160 is a `hidden beast` number, since 6 + 8 + 8 + 8 + 626 + 3 + 1 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (68886263111) and next prime (68886263209).

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

It is a junction number, because it is equal to n+sod(n) for n = 68886263097 and 68886263106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1602006099 + ... + 1602006141.

It is an arithmetic number, because the mean of its divisors is an integer number (193554900).

Almost surely, 2^68886263160 is an apocalyptic number.

68886263160 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 68886263160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148650163200).

68886263160 is an abundant number, since it is smaller than the sum of its proper divisors (228414063240).

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

68886263160 is a wasteful number, since it uses less digits than its factorization.

68886263160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 68886263160 in words is "sixty-eight billion, eight hundred eighty-six million, two hundred sixty-three thousand, one hundred sixty".