11505270000 has 200 divisors, whose sum is σ = 42447112576. Its totient is φ = 2629728000.

The previous prime is 11505269999. The next prime is 11505270011. The reversal of 11505270000 is 7250511.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 182607 + ... + 237393.

Almost surely, 2^11505270000 is an apocalyptic number.

11505270000 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 11505270000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21223556288).

11505270000 is an abundant number, since it is smaller than the sum of its proper divisors (30941842576).

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

11505270000 is an equidigital number, since it uses as much as digits as its factorization.

11505270000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54825 (or 54804 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 21.

The spelling of 11505270000 in words is "eleven billion, five hundred five million, two hundred seventy thousand".