11430580206380 has 96 divisors (see below), whose sum is σ = 25185608078400. Its totient is φ = 4352809144320.

The previous prime is 11430580206301. The next prime is 11430580206389. The reversal of 11430580206380 is 8360208503411.

11430580206380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (11430580206389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36833222 + ... + 37142258.

It is an arithmetic number, because the mean of its divisors is an integer number (262350084150).

Almost surely, 2^{11430580206380} is an apocalyptic number.

11430580206380 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 11430580206380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12592804039200).

11430580206380 is an abundant number, since it is smaller than the sum of its proper divisors (13755027872020).

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

11430580206380 is a wasteful number, since it uses less digits than its factorization.

11430580206380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310179 (or 310177 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

Adding to 11430580206380 its reverse (8360208503411), we get a palindrome (19790788709791).

The spelling of 11430580206380 in words is "eleven trillion, four hundred thirty billion, five hundred eighty million, two hundred six thousand, three hundred eighty".