11164584000 has 224 divisors, whose sum is σ = 37112789376. Its totient is φ = 2957260800.

The previous prime is 11164583993. The next prime is 11164584043. The reversal of 11164584000 is 48546111.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3766519 + ... + 3769481.

Almost surely, 2^11164584000 is an apocalyptic number.

11164584000 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 11164584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18556394688).

11164584000 is an abundant number, since it is smaller than the sum of its proper divisors (25948205376).

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

11164584000 is a wasteful number, since it uses less digits than its factorization.

11164584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3150 (or 3130 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The spelling of 11164584000 in words is "eleven billion, one hundred sixty-four million, five hundred eighty-four thousand".