11366982000 has 720 divisors, whose sum is σ = 46355845536. Its totient is φ = 2585088000.

The previous prime is 11366981981. The next prime is 11366982019. The reversal of 11366982000 is 28966311.

11366982000 is a `hidden beast` number, since 1 + 1 + 366 + 98 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11366981981) and next prime (11366982019).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37025847 + ... + 37026153.

Almost surely, 2^11366982000 is an apocalyptic number.

11366982000 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 11366982000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23177922768).

11366982000 is an abundant number, since it is smaller than the sum of its proper divisors (34988863536).

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

11366982000 is a wasteful number, since it uses less digits than its factorization.

11366982000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 11366982000 in words is "eleven billion, three hundred sixty-six million, nine hundred eighty-two thousand".