11541574000 has 160 divisors (see below), whose sum is σ = 30730265280. Its totient is φ = 4157568000.

The previous prime is 11541573973. The next prime is 11541574013. The reversal of 11541574000 is 47514511.

It is a self number, because there is not a number n which added to its sum of digits gives 11541574000.

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, 2395594 + ... + 2400406.

It is an arithmetic number, because the mean of its divisors is an integer number (192064158).

Almost surely, 2^11541574000 is an apocalyptic number.

11541574000 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 11541574000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15365132640).

11541574000 is an abundant number, since it is smaller than the sum of its proper divisors (19188691280).

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

11541574000 is a wasteful number, since it uses less digits than its factorization.

11541574000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4956 (or 4940 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 28.

The spelling of 11541574000 in words is "eleven billion, five hundred forty-one million, five hundred seventy-four thousand".