11358935040 has 192 divisors, whose sum is σ = 37189152000. Its totient is φ = 2958262272.

The previous prime is 11358935039. The next prime is 11358935177. The reversal of 11358935040 is 4053985311.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 11358935040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1316661 + ... + 1325259.

It is an arithmetic number, because the mean of its divisors is an integer number (193693500).

Almost surely, 2^11358935040 is an apocalyptic number.

11358935040 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 11358935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18594576000).

11358935040 is an abundant number, since it is smaller than the sum of its proper divisors (25830216960).

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

11358935040 is an equidigital number, since it uses as much as digits as its factorization.

11358935040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8672 (or 8652 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The spelling of 11358935040 in words is "eleven billion, three hundred fifty-eight million, nine hundred thirty-five thousand, forty".