11017666400000 has 864 divisors, whose sum is σ = 30806729243136. Its totient is φ = 3906201600000.

The previous prime is 11017666399937. The next prime is 11017666400003. The reversal of 11017666400000 is 466671011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 11017666400000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11017666400003) 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, 31751199827 + ... + 31751200173.

It is an arithmetic number, because the mean of its divisors is an integer number (35655936624).

Almost surely, 2^{11017666400000} is an apocalyptic number.

11017666400000 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 11017666400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15403364621568).

11017666400000 is an abundant number, since it is smaller than the sum of its proper divisors (19789062843136).

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

11017666400000 is an frugal number, since it uses more digits than its factorization.

11017666400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The spelling of 11017666400000 in words is "eleven trillion, seventeen billion, six hundred sixty-six million, four hundred thousand".