11048031385200 has 600 divisors, whose sum is σ = 40954681696896. Its totient is φ = 2849354496000.

The previous prime is 11048031385073. The next prime is 11048031385201. The reversal of 11048031385200 is 258313084011.

11048031385200 is a `hidden beast` number, since 1 + 1 + 0 + 48 + 0 + 31 + 385 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11048031385201) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2753058394 + ... + 2753062406.

Almost surely, 2^{11048031385200} is an apocalyptic number.

11048031385200 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 11048031385200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20477340848448).

11048031385200 is an abundant number, since it is smaller than the sum of its proper divisors (29906650311696).

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

11048031385200 is a wasteful number, since it uses less digits than its factorization.

11048031385200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6815 (or 6795 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 11048031385200 in words is "eleven trillion, forty-eight billion, thirty-one million, three hundred eighty-five thousand, two hundred".