11675013480 has 288 divisors, whose sum is σ = 41437992960. Its totient is φ = 2849333760.

The previous prime is 11675013473. The next prime is 11675013491. The reversal of 11675013480 is 8431057611.

11675013480 is a `hidden beast` number, since 1 + 167 + 5 + 0 + 13 + 480 = 666.

11675013480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7725925 + ... + 7727435.

It is an arithmetic number, because the mean of its divisors is an integer number (143881920).

Almost surely, 2^11675013480 is an apocalyptic number.

11675013480 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 11675013480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20718996480).

11675013480 is an abundant number, since it is smaller than the sum of its proper divisors (29762979480).

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

11675013480 is a wasteful number, since it uses less digits than its factorization.

11675013480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 11675013480 in words is "eleven billion, six hundred seventy-five million, thirteen thousand, four hundred eighty".