11638401300 has 288 divisors, whose sum is σ = 38864179200. Its totient is φ = 2984688000.

The previous prime is 11638401293. The next prime is 11638401323. The reversal of 11638401300 is 310483611.

11638401300 is a `hidden beast` number, since 11 + 638 + 4 + 0 + 13 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17660371 + ... + 17661029.

Almost surely, 2^11638401300 is an apocalyptic number.

11638401300 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 11638401300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19432089600).

11638401300 is an abundant number, since it is smaller than the sum of its proper divisors (27225777900).

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

11638401300 is a wasteful number, since it uses less digits than its factorization.

11638401300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 11638401300 its reverse (310483611), we get a palindrome (11948884911).

The spelling of 11638401300 in words is "eleven billion, six hundred thirty-eight million, four hundred one thousand, three hundred".