11564553000 has 512 divisors, whose sum is σ = 48457543680. Its totient is φ = 2217600000.

The previous prime is 11564552983. The next prime is 11564553031. The reversal of 11564553000 is 35546511.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3001075 + ... + 3004925.

It is an arithmetic number, because the mean of its divisors is an integer number (94643640).

Almost surely, 2^11564553000 is an apocalyptic number.

11564553000 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 11564553000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24228771840).

11564553000 is an abundant number, since it is smaller than the sum of its proper divisors (36892990680).

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

11564553000 is a wasteful number, since it uses less digits than its factorization.

11564553000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3906 (or 3892 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 11564553000 in words is "eleven billion, five hundred sixty-four million, five hundred fifty-three thousand".