11282215885920 has 288 divisors, whose sum is σ = 44231019356160. Its totient is φ = 2565290234880.

The previous prime is 11282215885849. The next prime is 11282215885939. The reversal of 11282215885920 is 2958851228211.

11282215885920 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 2 + 2 + 1 + 588 + 59 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×11282215885920² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1004740 + ... + 4855299.

It is an arithmetic number, because the mean of its divisors is an integer number (153579928320).

Almost surely, 2^{11282215885920} is an apocalyptic number.

11282215885920 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 11282215885920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22115509678080).

11282215885920 is an abundant number, since it is smaller than the sum of its proper divisors (32948803470240).

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

11282215885920 is a wasteful number, since it uses less digits than its factorization.

11282215885920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5860258 (or 5860247 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 54.

The spelling of 11282215885920 in words is "eleven trillion, two hundred eighty-two billion, two hundred fifteen million, eight hundred eighty-five thousand, nine hundred twenty".