11838134655360 has 3584 divisors, whose sum is σ = 51884870889600. Its totient is φ = 2552371347456.

The previous prime is 11838134655311. The next prime is 11838134655427. The reversal of 11838134655360 is 6355643183811.

11838134655360 is a `hidden beast` number, since 1 + 1 + 8 + 3 + 81 + 3 + 4 + 6 + 553 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11838134655297 and 11838134655306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 110636772427 + ... + 110636772533.

Almost surely, 2^{11838134655360} is an apocalyptic number.

11838134655360 is a gapful number since it is divisible by the number (10) 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 11838134655360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25942435444800).

11838134655360 is an abundant number, since it is smaller than the sum of its proper divisors (40046736234240).

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

11838134655360 is a wasteful number, since it uses less digits than its factorization.

11838134655360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 11838134655360 in words is "eleven trillion, eight hundred thirty-eight billion, one hundred thirty-four million, six hundred fifty-five thousand, three hundred sixty".