11737828068798 has 256 divisors, whose sum is σ = 27101183155200. Its totient is φ = 3364096167936.

The previous prime is 11737828068779. The next prime is 11737828068817. The reversal of 11737828068798 is 89786082873711.

It is an interprime number because it is at equal distance from previous prime (11737828068779) and next prime (11737828068817).

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1476638128 + ... + 1476646076.

It is an arithmetic number, because the mean of its divisors is an integer number (105863996700).

Almost surely, 2^{11737828068798} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11737828068798, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13550591577600).

11737828068798 is an abundant number, since it is smaller than the sum of its proper divisors (15363355086402).

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

11737828068798 is a wasteful number, since it uses less digits than its factorization.

11737828068798 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8283.

The product of its (nonzero) digits is 455196672, while the sum is 75.

The spelling of 11737828068798 in words is "eleven trillion, seven hundred thirty-seven billion, eight hundred twenty-eight million, sixty-eight thousand, seven hundred ninety-eight".