11670958080 has 312 divisors, whose sum is σ = 42228602208. Its totient is φ = 2975858688.

The previous prime is 11670958067. The next prime is 11670958087. The reversal of 11670958080 is 8085907611.

11670958080 is a `hidden beast` number, since 1 + 1 + 67 + 0 + 9 + 580 + 8 + 0 = 666.

It is a super-2 number, since 2×11670958080² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11670958087) 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 23 ways as a sum of consecutive naturals, for example, 4237984 + ... + 4240736.

It is an arithmetic number, because the mean of its divisors is an integer number (135348084).

Almost surely, 2^11670958080 is an apocalyptic number.

11670958080 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 11670958080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21114301104).

11670958080 is an abundant number, since it is smaller than the sum of its proper divisors (30557644128).

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

11670958080 is a wasteful number, since it uses less digits than its factorization.

11670958080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2811 (or 2786 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 11670958080 in words is "eleven billion, six hundred seventy million, nine hundred fifty-eight thousand, eighty".