68253238886400 has 1224 divisors, whose sum is σ = 254545240182480. Its totient is φ = 17461055324160.

The previous prime is 68253238886383. The next prime is 68253238886533. The reversal of 68253238886400 is 468883235286.

68253238886400 is a `hidden beast` number, since 6 + 8 + 2 + 53 + 23 + 88 + 86 + 400 = 666.

It is a super-2 number, since 2×68253238886400² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 82531122787 + ... + 82531123613.

Almost surely, 2^{68253238886400} is an apocalyptic number.

68253238886400 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 68253238886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127272620091240).

68253238886400 is an abundant number, since it is smaller than the sum of its proper divisors (186292001296080).

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

68253238886400 is a wasteful number, since it uses less digits than its factorization.

68253238886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 63.

The spelling of 68253238886400 in words is "sixty-eight trillion, two hundred fifty-three billion, two hundred thirty-eight million, eight hundred eighty-six thousand, four hundred".