11364755886720 has 768 divisors, whose sum is σ = 42223446720000. Its totient is φ = 2806433710080.

The previous prime is 11364755886719. The next prime is 11364755886721. The reversal of 11364755886720 is 2768855746311.

It is a happy number.

11364755886720 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 4 + 7 + 558 + 8 + 6 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11364755886719) and next prime (11364755886721).

It is not an unprimeable number, because it can be changed into a prime (11364755886721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4164438316 + ... + 4164441044.

It is an arithmetic number, because the mean of its divisors is an integer number (54978446250).

Almost surely, 2^{11364755886720} is an apocalyptic number.

11364755886720 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 11364755886720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21111723360000).

11364755886720 is an abundant number, since it is smaller than the sum of its proper divisors (30858690833280).

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

11364755886720 is a wasteful number, since it uses less digits than its factorization.

11364755886720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3441 (or 3426 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 11364755886720 in words is "eleven trillion, three hundred sixty-four billion, seven hundred fifty-five million, eight hundred eighty-six thousand, seven hundred twenty".