11413013189760 has 768 divisors, whose sum is σ = 49688455864320. Its totient is φ = 2349283737600.

The previous prime is 11413013189723. The next prime is 11413013189761. The reversal of 11413013189760 is 6798131031411.

11413013189760 is a `hidden beast` number, since 11 + 413 + 0 + 131 + 8 + 97 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11413013189761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21225025 + ... + 21756095.

It is an arithmetic number, because the mean of its divisors is an integer number (64698510240).

Almost surely, 2^{11413013189760} is an apocalyptic number.

11413013189760 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 11413013189760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24844227932160).

11413013189760 is an abundant number, since it is smaller than the sum of its proper divisors (38275442674560).

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

11413013189760 is a wasteful number, since it uses less digits than its factorization.

11413013189760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531157 (or 531142 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 11413013189760 in words is "eleven trillion, four hundred thirteen billion, thirteen million, one hundred eighty-nine thousand, seven hundred sixty".