68103789078528 has 1152 divisors, whose sum is σ = 241927096320000. Its totient is φ = 18730002677760.

The previous prime is 68103789078499. The next prime is 68103789078539. The reversal of 68103789078528 is 82587098730186.

68103789078528 is a `hidden beast` number, since 6 + 8 + 1 + 0 + 3 + 7 + 8 + 90 + 7 + 8 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21490622928 + ... + 21490626096.

It is an arithmetic number, because the mean of its divisors is an integer number (210006160000).

Almost surely, 2^{68103789078528} 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 68103789078528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120963548160000).

68103789078528 is an abundant number, since it is smaller than the sum of its proper divisors (173823307241472).

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

68103789078528 is a wasteful number, since it uses less digits than its factorization.

68103789078528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3443 (or 3411 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 72.

The spelling of 68103789078528 in words is "sixty-eight trillion, one hundred three billion, seven hundred eighty-nine million, seventy-eight thousand, five hundred twenty-eight".