68868502560 has 1536 divisors, whose sum is σ = 305794621440. Its totient is φ = 14233190400.

The previous prime is 68868502553. The next prime is 68868502601. The reversal of 68868502560 is 6520586886.

68868502560 is a `hidden beast` number, since 6 + 8 + 86 + 8 + 502 + 56 + 0 = 666.

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 = 68868502497 and 68868502506.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 525713695 + ... + 525713825.

It is an arithmetic number, because the mean of its divisors is an integer number (199085040).

Almost surely, 2^68868502560 is an apocalyptic number.

68868502560 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 68868502560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152897310720).

68868502560 is an abundant number, since it is smaller than the sum of its proper divisors (236926118880).

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

68868502560 is a wasteful number, since it uses less digits than its factorization.

68868502560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 68868502560 in words is "sixty-eight billion, eight hundred sixty-eight million, five hundred two thousand, five hundred sixty".