11385437643360 has 960 divisors, whose sum is σ = 47000690795520. Its totient is φ = 2564820910080.

The previous prime is 11385437643353. The next prime is 11385437643389. The reversal of 11385437643360 is 6334673458311.

It is a happy number.

11385437643360 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 543 + 7 + 6 + 4 + 33 + 60 = 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 = 11385437643297 and 11385437643306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 191428347 + ... + 191487813.

It is an arithmetic number, because the mean of its divisors is an integer number (48959052912).

Almost surely, 2^{11385437643360} is an apocalyptic number.

11385437643360 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 11385437643360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23500345397760).

11385437643360 is an abundant number, since it is smaller than the sum of its proper divisors (35615253152160).

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

11385437643360 is a wasteful number, since it uses less digits than its factorization.

11385437643360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59601 (or 59584 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 11385437643360 in words is "eleven trillion, three hundred eighty-five billion, four hundred thirty-seven million, six hundred forty-three thousand, three hundred sixty".