11838937268160 has 280 divisors, whose sum is σ = 42120083497536. Its totient is φ = 3156532623360.

The previous prime is 11838937268159. The next prime is 11838937268167. The reversal of 11838937268160 is 6186273983811.

11838937268160 is a `hidden beast` number, since 1 + 1 + 8 + 389 + 37 + 2 + 68 + 160 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11838937268167) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 173707690 + ... + 173775830.

Almost surely, 2^{11838937268160} is an apocalyptic number.

11838937268160 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 11838937268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21060041748768).

11838937268160 is an abundant number, since it is smaller than the sum of its proper divisors (30281146229376).

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

11838937268160 is an equidigital number, since it uses as much as digits as its factorization.

11838937268160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74873 (or 74854 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 11838937268160 in words is "eleven trillion, eight hundred thirty-eight billion, nine hundred thirty-seven million, two hundred sixty-eight thousand, one hundred sixty".