11669058132480 has 2880 divisors, whose sum is σ = 51494722126848. Its totient is φ = 2521603768320.

The previous prime is 11669058132469. The next prime is 11669058132509. The reversal of 11669058132480 is 8423185096611.

It is a happy number.

11669058132480 is a `hidden beast` number, since 1 + 1 + 66 + 90 + 5 + 8 + 13 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 50081794444 + ... + 50081794676.

Almost surely, 2^{11669058132480} is an apocalyptic number.

11669058132480 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 11669058132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25747361063424).

11669058132480 is an abundant number, since it is smaller than the sum of its proper divisors (39825663994368).

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

11669058132480 is an equidigital number, since it uses as much as digits as its factorization.

11669058132480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 11669058132480 in words is "eleven trillion, six hundred sixty-nine billion, fifty-eight million, one hundred thirty-two thousand, four hundred eighty".