11129580 has 216 divisors, whose sum is σ = 42989856. Its totient is φ = 2280960.

The previous prime is 11129579. The next prime is 11129581. The reversal of 11129580 is 8592111.

It is an interprime number because it is at equal distance from previous prime (11129579) and next prime (11129581).

It is not an unprimeable number, because it can be changed into a prime (11129581) 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 71 ways as a sum of consecutive naturals, for example, 152424 + ... + 152496.

Almost surely, 2^11129580 is an apocalyptic number.

11129580 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 11129580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21494928).

11129580 is an abundant number, since it is smaller than the sum of its proper divisors (31860276).

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

11129580 is a wasteful number, since it uses less digits than its factorization.

11129580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 11129580 is about 3336.1025164104. The cubic root of 11129580 is about 223.2678850819.

The spelling of 11129580 in words is "eleven million, one hundred twenty-nine thousand, five hundred eighty".