11290245120 has 1152 divisors, whose sum is σ = 51269137920. Its totient is φ = 2229534720.

The previous prime is 11290245119. The next prime is 11290245199. The reversal of 11290245120 is 2154209211.

11290245120 is a `hidden beast` number, since 1 + 129 + 0 + 24 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 262563819 + ... + 262563861.

It is an arithmetic number, because the mean of its divisors is an integer number (44504460).

Almost surely, 2^11290245120 is an apocalyptic number.

11290245120 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 11290245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25634568960).

11290245120 is an abundant number, since it is smaller than the sum of its proper divisors (39978892800).

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

11290245120 is a wasteful number, since it uses less digits than its factorization.

11290245120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 11290245120 in words is "eleven billion, two hundred ninety million, two hundred forty-five thousand, one hundred twenty".