11465617912840 has 1536 divisors, whose sum is σ = 36831739392000. Its totient is φ = 3115360714752.

The previous prime is 11465617912829. The next prime is 11465617912841. The reversal of 11465617912840 is 4821971656411.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11465617912841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 128827167516 + ... + 128827167604.

It is an arithmetic number, because the mean of its divisors is an integer number (23978997000).

Almost surely, 2^{11465617912840} is an apocalyptic number.

11465617912840 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 11465617912840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18415869696000).

11465617912840 is an abundant number, since it is smaller than the sum of its proper divisors (25366121479160).

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

11465617912840 is a wasteful number, since it uses less digits than its factorization.

11465617912840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 55.

The spelling of 11465617912840 in words is "eleven trillion, four hundred sixty-five billion, six hundred seventeen million, nine hundred twelve thousand, eight hundred forty".