11432960000 has 560 divisors, whose sum is σ = 36849954240. Its totient is φ = 3440640000.

The previous prime is 11432959943. The next prime is 11432960051. The reversal of 11432960000 is 6923411.

It is a tau number, because it is divible by the number of its divisors (560).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 394239986 + ... + 394240014.

Almost surely, 2^11432960000 is an apocalyptic number.

11432960000 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 11432960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18424977120).

11432960000 is an abundant number, since it is smaller than the sum of its proper divisors (25416994240).

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

11432960000 is an frugal number, since it uses more digits than its factorization.

11432960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 11432960000 in words is "eleven billion, four hundred thirty-two million, nine hundred sixty thousand".