11545601540 has 96 divisors (see below), whose sum is σ = 27027302400. Its totient is φ = 4107755520.

The previous prime is 11545601531. The next prime is 11545601593. The reversal of 11545601540 is 4510654511.

It is a junction number, because it is equal to n+sod(n) for n = 11545601497 and 11545601506.

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, 1896221 + ... + 1902299.

It is an arithmetic number, because the mean of its divisors is an integer number (281534400).

Almost surely, 2^11545601540 is an apocalyptic number.

11545601540 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 11545601540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13513651200).

11545601540 is an abundant number, since it is smaller than the sum of its proper divisors (15481700860).

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

11545601540 is a wasteful number, since it uses less digits than its factorization.

11545601540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6285 (or 6283 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

The spelling of 11545601540 in words is "eleven billion, five hundred forty-five million, six hundred one thousand, five hundred forty".