11138361766560 has 1536 divisors, whose sum is σ = 46942156800000. Its totient is φ = 2464077127680.

The previous prime is 11138361766549. The next prime is 11138361766561. The reversal of 11138361766560 is 6566716383111.

11138361766560 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 8 + 3 + 6 + 1 + 76 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11138361766497 and 11138361766506.

It is not an unprimeable number, because it can be changed into a prime (11138361766561) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8444549581 + ... + 8444550899.

It is an arithmetic number, because the mean of its divisors is an integer number (30561300000).

Almost surely, 2^{11138361766560} is an apocalyptic number.

11138361766560 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 11138361766560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23471078400000).

11138361766560 is an abundant number, since it is smaller than the sum of its proper divisors (35803795033440).

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

11138361766560 is a wasteful number, since it uses less digits than its factorization.

11138361766560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 11138361766560 in words is "eleven trillion, one hundred thirty-eight billion, three hundred sixty-one million, seven hundred sixty-six thousand, five hundred sixty".