11670659000 has 512 divisors, whose sum is σ = 37362124800. Its totient is φ = 3294720000.

The previous prime is 11670658997. The next prime is 11670659017. The reversal of 11670659000 is 95607611.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 89088935 + ... + 89089065.

It is an arithmetic number, because the mean of its divisors is an integer number (72972900).

Almost surely, 2^11670659000 is an apocalyptic number.

11670659000 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 11670659000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18681062400).

11670659000 is an abundant number, since it is smaller than the sum of its proper divisors (25691465800).

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

11670659000 is a wasteful number, since it uses less digits than its factorization.

11670659000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 35.

The spelling of 11670659000 in words is "eleven billion, six hundred seventy million, six hundred fifty-nine thousand".