11465536500000 has 1008 divisors, whose sum is σ = 45952989919200. Its totient is φ = 2779128000000.

The previous prime is 11465536499981. The next prime is 11465536500007. The reversal of 11465536500000 is 563556411.

11465536500000 is a `hidden beast` number, since 1 + 1 + 46 + 553 + 65 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11465536500007) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1633496491 + ... + 1633503509.

It is an arithmetic number, because the mean of its divisors is an integer number (45588283650).

Almost surely, 2^{11465536500000} is an apocalyptic number.

11465536500000 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 11465536500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22976494959600).

11465536500000 is an abundant number, since it is smaller than the sum of its proper divisors (34487453419200).

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

11465536500000 is an frugal number, since it uses more digits than its factorization.

11465536500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7090 (or 7040 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 11465536500000 in words is "eleven trillion, four hundred sixty-five billion, five hundred thirty-six million, five hundred thousand".