11286712140000 has 480 divisors, whose sum is σ = 40442447574144. Its totient is φ = 2732509440000.

The previous prime is 11286712139981. The next prime is 11286712140071. The reversal of 11286712140000 is 4121768211.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 510168939 + ... + 510191061.

Almost surely, 2^{11286712140000} is an apocalyptic number.

11286712140000 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 11286712140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20221223787072).

11286712140000 is an abundant number, since it is smaller than the sum of its proper divisors (29155735434144).

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

11286712140000 is a wasteful number, since it uses less digits than its factorization.

11286712140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22940 (or 22917 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The spelling of 11286712140000 in words is "eleven trillion, two hundred eighty-six billion, seven hundred twelve million, one hundred forty thousand".