11967964286040 has 1024 divisors, whose sum is σ = 48479040000000. Its totient is φ = 2572504344576.

The previous prime is 11967964286039. The next prime is 11967964286051. The reversal of 11967964286040 is 4068246976911.

11967964286040 is a `hidden beast` number, since 1 + 1 + 9 + 67 + 96 + 428 + 60 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7726251186 + ... + 7726252734.

It is an arithmetic number, because the mean of its divisors is an integer number (47342812500).

Almost surely, 2^{11967964286040} is an apocalyptic number.

11967964286040 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 11967964286040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24239520000000).

11967964286040 is an abundant number, since it is smaller than the sum of its proper divisors (36511075713960).

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

11967964286040 is a wasteful number, since it uses less digits than its factorization.

11967964286040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 11967964286040 in words is "eleven trillion, nine hundred sixty-seven billion, nine hundred sixty-four million, two hundred eighty-six thousand, forty".