11535095040 has 576 divisors, whose sum is σ = 44205342720. Its totient is φ = 2508226560.

The previous prime is 11535094993. The next prime is 11535095057. The reversal of 11535095040 is 4059053511.

It is a junction number, because it is equal to n+sod(n) for n = 11535094992 and 11535095010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90827457 + ... + 90827583.

Almost surely, 2^11535095040 is an apocalyptic number.

11535095040 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 11535095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22102671360).

11535095040 is an abundant number, since it is smaller than the sum of its proper divisors (32670247680).

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

11535095040 is a wasteful number, since it uses less digits than its factorization.

11535095040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 33.

The spelling of 11535095040 in words is "eleven billion, five hundred thirty-five million, ninety-five thousand, forty".