11677608000 has 336 divisors, whose sum is σ = 43327100544. Its totient is φ = 3113510400.

The previous prime is 11677607971. The next prime is 11677608043. The reversal of 11677608000 is 80677611.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1940997 + ... + 1947003.

It is an arithmetic number, because the mean of its divisors is an integer number (128949704).

Almost surely, 2^11677608000 is an apocalyptic number.

11677608000 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 11677608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21663550272).

11677608000 is an abundant number, since it is smaller than the sum of its proper divisors (31649492544).

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

11677608000 is an frugal number, since it uses more digits than its factorization.

11677608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6049 (or 6017 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 11677608000 in words is "eleven billion, six hundred seventy-seven million, six hundred eight thousand".