11200425984 has 546 divisors, whose sum is σ = 38102959328. Its totient is φ = 3284582400.

The previous prime is 11200425983. The next prime is 11200426051. The reversal of 11200425984 is 48952400211.

11200425984 is a `hidden beast` number, since 1 + 1 + 20 + 0 + 42 + 598 + 4 = 666.

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 (11200425983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 361304049 + ... + 361304079.

Almost surely, 2^11200425984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11200425984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19051479664).

11200425984 is an abundant number, since it is smaller than the sum of its proper divisors (26902533344).

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

11200425984 is an frugal number, since it uses more digits than its factorization.

11200425984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 47 counting only the distinct ones).

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

The spelling of 11200425984 in words is "eleven billion, two hundred million, four hundred twenty-five thousand, nine hundred eighty-four".