11835504137808 has 160 divisors (see below), whose sum is σ = 36683623764480. Its totient is φ = 3631929684480.

The previous prime is 11835504137791. The next prime is 11835504137827. The reversal of 11835504137808 is 80873140553811.

11835504137808 is a `hidden beast` number, since 1 + 1 + 8 + 3 + 550 + 4 + 1 + 3 + 7 + 80 + 8 = 666.

It is a Smith number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 730248 + ... + 4919783.

It is an arithmetic number, because the mean of its divisors is an integer number (229272648528).

Almost surely, 2^{11835504137808} is an apocalyptic number.

11835504137808 is a gapful number since it is divisible by the number (18) 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 11835504137808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18341811882240).

11835504137808 is an abundant number, since it is smaller than the sum of its proper divisors (24848119626672).

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

11835504137808 is a wasteful number, since it uses less digits than its factorization.

11835504137808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5650434 (or 5650422 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 11835504137808 in words is "eleven trillion, eight hundred thirty-five billion, five hundred four million, one hundred thirty-seven thousand, eight hundred eight".