11486720000 has 260 divisors, whose sum is σ = 32855870256. Its totient is φ = 3932160000.

The previous prime is 11486719991. The next prime is 11486720027. The reversal of 11486720000 is 2768411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17919680 + ... + 17920320.

Almost surely, 2^11486720000 is an apocalyptic number.

11486720000 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 11486720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16427935128).

11486720000 is an abundant number, since it is smaller than the sum of its proper divisors (21369150256).

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

11486720000 is an frugal number, since it uses more digits than its factorization.

11486720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The spelling of 11486720000 in words is "eleven billion, four hundred eighty-six million, seven hundred twenty thousand".