11670687600 has 480 divisors, whose sum is σ = 45846065664. Its totient is φ = 2497228800.

The previous prime is 11670687557. The next prime is 11670687607. The reversal of 11670687600 is 678607611.

11670687600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11670687607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3945322 + ... + 3948278.

Almost surely, 2^11670687600 is an apocalyptic number.

11670687600 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 11670687600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22923032832).

11670687600 is an abundant number, since it is smaller than the sum of its proper divisors (34175378064).

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

11670687600 is a wasteful number, since it uses less digits than its factorization.

11670687600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3025 (or 3014 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The spelling of 11670687600 in words is "eleven billion, six hundred seventy million, six hundred eighty-seven thousand, six hundred".