11700432000 has 384 divisors, whose sum is σ = 42337217520. Its totient is φ = 3096576000.

The previous prime is 11700431993. The next prime is 11700432001. The reversal of 11700432000 is 23400711.

It can be written as a sum of positive squares in 8 ways, for example, as 1114491456 + 10585940544 = 33384^2 + 102888^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11700432001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27791790 + ... + 27792210.

Almost surely, 2^11700432000 is an apocalyptic number.

11700432000 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 11700432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21168608760).

11700432000 is an abundant number, since it is smaller than the sum of its proper divisors (30636785520).

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

11700432000 is a wasteful number, since it uses less digits than its factorization.

11700432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

Adding to 11700432000 its reverse (23400711), we get a palindrome (11723832711).

The spelling of 11700432000 in words is "eleven billion, seven hundred million, four hundred thirty-two thousand".