11001540000 has 480 divisors, whose sum is σ = 40055178240. Its totient is φ = 2620800000.

The previous prime is 11001539977. The next prime is 11001540007. The reversal of 11001540000 is 4510011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11001540007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 52139895 + ... + 52140105.

It is an arithmetic number, because the mean of its divisors is an integer number (83448288).

Almost surely, 2^11001540000 is an apocalyptic number.

11001540000 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 11001540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20027589120).

11001540000 is an abundant number, since it is smaller than the sum of its proper divisors (29053638240).

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

11001540000 is a wasteful number, since it uses less digits than its factorization.

11001540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The spelling of 11001540000 in words is "eleven billion, one million, five hundred forty thousand".