11465754240 has 128 divisors (see below), whose sum is σ = 37726225920. Its totient is φ = 2958888960.

The previous prime is 11465754161. The next prime is 11465754259. The reversal of 11465754240 is 4245756411.

It is a tau number, because it is divible by the number of its divisors (128).

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, 36799 + ... + 155838.

It is an arithmetic number, because the mean of its divisors is an integer number (294736140).

Almost surely, 2^11465754240 is an apocalyptic number.

11465754240 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 11465754240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18863112960).

11465754240 is an abundant number, since it is smaller than the sum of its proper divisors (26260471680).

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

11465754240 is a wasteful number, since it uses less digits than its factorization.

11465754240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192690 (or 192678 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The spelling of 11465754240 in words is "eleven billion, four hundred sixty-five million, seven hundred fifty-four thousand, two hundred forty".