11638177920 has 576 divisors, whose sum is σ = 44104483800. Its totient is φ = 2824077312.

The previous prime is 11638177907. The next prime is 11638177931. The reversal of 11638177920 is 2977183611.

11638177920 is a `hidden beast` number, since 1 + 1 + 638 + 1 + 7 + 7 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8069788224 + 3568389696 = 89832^2 + 59736^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60301344 + ... + 60301536.

Almost surely, 2^11638177920 is an apocalyptic number.

11638177920 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 11638177920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22052241900).

11638177920 is an abundant number, since it is smaller than the sum of its proper divisors (32466305880).

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

11638177920 is a wasteful number, since it uses less digits than its factorization.

11638177920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 11638177920 in words is "eleven billion, six hundred thirty-eight million, one hundred seventy-seven thousand, nine hundred twenty".