11132420755680 has 1440 divisors, whose sum is σ = 47412602832672. Its totient is φ = 2450746368000.

The previous prime is 11132420755661. The next prime is 11132420755681. The reversal of 11132420755680 is 8655702423111.

11132420755680 is a `hidden beast` number, since 1 + 1 + 1 + 32 + 420 + 75 + 56 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 (11132420755681) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2373142135 + ... + 2373146825.

Almost surely, 2^{11132420755680} is an apocalyptic number.

11132420755680 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 11132420755680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23706301416336).

11132420755680 is an abundant number, since it is smaller than the sum of its proper divisors (36280182076992).

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

11132420755680 is a wasteful number, since it uses less digits than its factorization.

11132420755680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4870 (or 4846 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 11132420755680 in words is "eleven trillion, one hundred thirty-two billion, four hundred twenty million, seven hundred fifty-five thousand, six hundred eighty".