11534236960 has 96 divisors (see below), whose sum is σ = 28235741184. Its totient is φ = 4447872000.

The previous prime is 11534236951. The next prime is 11534236999. The reversal of 11534236960 is 6963243511.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1339870 + ... + 1348450.

It is an arithmetic number, because the mean of its divisors is an integer number (294122304).

Almost surely, 2^11534236960 is an apocalyptic number.

11534236960 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 11534236960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14117870592).

11534236960 is an abundant number, since it is smaller than the sum of its proper divisors (16701504224).

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

11534236960 is a wasteful number, since it uses less digits than its factorization.

11534236960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8898 (or 8890 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The spelling of 11534236960 in words is "eleven billion, five hundred thirty-four million, two hundred thirty-six thousand, nine hundred sixty".