11676610000 has 200 divisors, whose sum is σ = 31175245728. Its totient is φ = 4200000000.

The previous prime is 11676609991. The next prime is 11676610003. The reversal of 11676610000 is 1667611.

11676610000 = 486³ + 487³ + ... + 565³.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11676610003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11109475 + ... + 11110525.

Almost surely, 2^11676610000 is an apocalyptic number.

11676610000 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 11676610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15587622864).

11676610000 is an abundant number, since it is smaller than the sum of its proper divisors (19498635728).

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

11676610000 is a wasteful number, since it uses less digits than its factorization.

11676610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The spelling of 11676610000 in words is "eleven billion, six hundred seventy-six million, six hundred ten thousand".