11705360480 has 192 divisors, whose sum is σ = 31614105600. Its totient is φ = 4056299520.

The previous prime is 11705360473. The next prime is 11705360483. The reversal of 11705360480 is 8406350711.

It is a self number, because there is not a number n which added to its sum of digits gives 11705360480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11705360483) 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, 4030709 + ... + 4033611.

It is an arithmetic number, because the mean of its divisors is an integer number (164656800).

Almost surely, 2^11705360480 is an apocalyptic number.

11705360480 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 11705360480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15807052800).

11705360480 is an abundant number, since it is smaller than the sum of its proper divisors (19908745120).

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

11705360480 is a wasteful number, since it uses less digits than its factorization.

11705360480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3037 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The spelling of 11705360480 in words is "eleven billion, seven hundred five million, three hundred sixty thousand, four hundred eighty".