11378904825600 has 1296 divisors, whose sum is σ = 44451834108864. Its totient is φ = 2760376320000.

The previous prime is 11378904825593. The next prime is 11378904825643. The reversal of 11378904825600 is 652840987311.

11378904825600 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 8 + 9 + 0 + 4 + 8 + 25 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17751801280 + ... + 17751801920.

It is a 1-persistent number, because it is pandigital, but 2⋅11378904825600 = 22757809651200 is not.

Almost surely, 2^{11378904825600} is an apocalyptic number.

11378904825600 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 11378904825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22225917054432).

11378904825600 is an abundant number, since it is smaller than the sum of its proper divisors (33072929283264).

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

11378904825600 is a wasteful number, since it uses less digits than its factorization.

11378904825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 11378904825600 in words is "eleven trillion, three hundred seventy-eight billion, nine hundred four million, eight hundred twenty-five thousand, six hundred".