11678509000 has 64 divisors (see below), whose sum is σ = 27609669360. Its totient is φ = 4623206400.

The previous prime is 11678508991. The next prime is 11678509013. The reversal of 11678509000 is 90587611.

It can be written as a sum of positive squares in 8 ways, for example, as 1241434756 + 10437074244 = 35234^2 + 102162^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36802 + ... + 157198.

Almost surely, 2^11678509000 is an apocalyptic number.

11678509000 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 11678509000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13804834680).

11678509000 is an abundant number, since it is smaller than the sum of its proper divisors (15931160360).

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

11678509000 is a wasteful number, since it uses less digits than its factorization.

11678509000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120515 (or 120501 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 37.

The spelling of 11678509000 in words is "eleven billion, six hundred seventy-eight million, five hundred nine thousand".