68133128287392 has 288 divisors, whose sum is σ = 222065963368704. Its totient is φ = 19410969600000.

The previous prime is 68133128287379. The next prime is 68133128287409. The reversal of 68133128287392 is 29378282133186.

68133128287392 is a `hidden beast` number, since 6 + 8 + 1 + 3 + 312 + 8 + 287 + 39 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2455145517 + ... + 2455173267.

It is an arithmetic number, because the mean of its divisors is an integer number (771062372808).

Almost surely, 2^{68133128287392} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68133128287392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111032981684352).

68133128287392 is an abundant number, since it is smaller than the sum of its proper divisors (153932835081312).

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

68133128287392 is a wasteful number, since it uses less digits than its factorization.

68133128287392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31212 (or 31201 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 68133128287392 in words is "sixty-eight trillion, one hundred thirty-three billion, one hundred twenty-eight million, two hundred eighty-seven thousand, three hundred ninety-two".