11633688387360 has 960 divisors, whose sum is σ = 45717368868864. Its totient is φ = 2766713241600.

The previous prime is 11633688387301. The next prime is 11633688387361. The reversal of 11633688387360 is 6378388633611.

11633688387360 is a `hidden beast` number, since 1 + 1 + 63 + 3 + 68 + 83 + 87 + 360 = 666.

11633688387360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11633688387361) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3974610217 + ... + 3974613143.

Almost surely, 2^{11633688387360} is an apocalyptic number.

11633688387360 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 11633688387360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22858684434432).

11633688387360 is an abundant number, since it is smaller than the sum of its proper divisors (34083680481504).

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

11633688387360 is a wasteful number, since it uses less digits than its factorization.

11633688387360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3759 (or 3742 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 11633688387360 in words is "eleven trillion, six hundred thirty-three billion, six hundred eighty-eight million, three hundred eighty-seven thousand, three hundred sixty".