11284557120 has 560 divisors, whose sum is σ = 41955598080. Its totient is φ = 2876829696.

The previous prime is 11284557113. The next prime is 11284557127. The reversal of 11284557120 is 2175548211.

It is a happy number.

11284557120 is a `hidden beast` number, since 1 + 1 + 2 + 84 + 5 + 571 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11284557113) and next prime (11284557127).

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 (11284557127) 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 79 ways as a sum of consecutive naturals, for example, 71876082 + ... + 71876238.

Almost surely, 2^11284557120 is an apocalyptic number.

11284557120 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 11284557120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20977799040).

11284557120 is an abundant number, since it is smaller than the sum of its proper divisors (30671040960).

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

11284557120 is a wasteful number, since it uses less digits than its factorization.

11284557120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 11284557120 in words is "eleven billion, two hundred eighty-four million, five hundred fifty-seven thousand, one hundred twenty".