11285367120 has 240 divisors, whose sum is σ = 39406977792. Its totient is φ = 3001536000.

The previous prime is 11285367101. The next prime is 11285367173. The reversal of 11285367120 is 2176358211.

11285367120 is a `hidden beast` number, since 1 + 1 + 285 + 367 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×11285367120² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14599054 + ... + 14599826.

Almost surely, 2^11285367120 is an apocalyptic number.

11285367120 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 11285367120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19703488896).

11285367120 is an abundant number, since it is smaller than the sum of its proper divisors (28121610672).

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

11285367120 is an equidigital number, since it uses as much as digits as its factorization.

11285367120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 11285367120 in words is "eleven billion, two hundred eighty-five million, three hundred sixty-seven thousand, one hundred twenty".