11700993600 has 252 divisors, whose sum is σ = 42021852964. Its totient is φ = 3087728640.

The previous prime is 11700993599. The next prime is 11700993607. The reversal of 11700993600 is 639900711.

It can be written as a sum of positive squares in 6 ways, for example, as 1496761344 + 10204232256 = 38688^2 + 101016^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11700993607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1392612 + ... + 1400988.

Almost surely, 2^11700993600 is an apocalyptic number.

11700993600 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 11700993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21010926482).

11700993600 is an abundant number, since it is smaller than the sum of its proper divisors (30320859364).

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

11700993600 is a wasteful number, since it uses less digits than its factorization.

11700993600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8502 (or 8484 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The spelling of 11700993600 in words is "eleven billion, seven hundred million, nine hundred ninety-three thousand, six hundred".