11132882853120 has 864 divisors, whose sum is σ = 47198602483200. Its totient is φ = 2475870437376.

The previous prime is 11132882853101. The next prime is 11132882853121. The reversal of 11132882853120 is 2135828823111.

11132882853120 is a `hidden beast` number, since 1 + 1 + 1 + 32 + 8 + 82 + 8 + 531 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×11132882853120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132882853121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62568441 + ... + 62746119.

Almost surely, 2^{11132882853120} is an apocalyptic number.

11132882853120 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 11132882853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23599301241600).

11132882853120 is an abundant number, since it is smaller than the sum of its proper divisors (36065719630080).

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

11132882853120 is a wasteful number, since it uses less digits than its factorization.

11132882853120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177760 (or 177733 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 11132882853120 in words is "eleven trillion, one hundred thirty-two billion, eight hundred eighty-two million, eight hundred fifty-three thousand, one hundred twenty".