11366358756480 has 2048 divisors, whose sum is σ = 51357332275200. Its totient is φ = 2311151616000.

The previous prime is 11366358756479. The next prime is 11366358756491. The reversal of 11366358756480 is 8465785366311.

11366358756480 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 6 + 3 + 587 + 5 + 6 + 48 + 0 = 666.

It is a super-2 number, since 2×11366358756480² (a number of 27 digits) contains 22 as substring.

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

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, 21009905010 + ... + 21009905550.

It is an arithmetic number, because the mean of its divisors is an integer number (25076822400).

Almost surely, 2^{11366358756480} is an apocalyptic number.

11366358756480 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 11366358756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25678666137600).

11366358756480 is an abundant number, since it is smaller than the sum of its proper divisors (39990973518720).

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

11366358756480 is a wasteful number, since it uses less digits than its factorization.

11366358756480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 11366358756480 in words is "eleven trillion, three hundred sixty-six billion, three hundred fifty-eight million, seven hundred fifty-six thousand, four hundred eighty".