11638838400 has 768 divisors, whose sum is σ = 46755102720. Its totient is φ = 2488320000.

The previous prime is 11638838383. The next prime is 11638838411. The reversal of 11638838400 is 483883611.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 77078325 + ... + 77078475.

It is an arithmetic number, because the mean of its divisors is an integer number (60879040).

Almost surely, 2^11638838400 is an apocalyptic number.

11638838400 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 11638838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23377551360).

11638838400 is an abundant number, since it is smaller than the sum of its proper divisors (35116264320).

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

11638838400 is a wasteful number, since it uses less digits than its factorization.

11638838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 11638838400 in words is "eleven billion, six hundred thirty-eight million, eight hundred thirty-eight thousand, four hundred".