11461603720 has 96 divisors (see below), whose sum is σ = 30031738200. Its totient is φ = 3925404672.

The previous prime is 11461603691. The next prime is 11461603721. The reversal of 11461603720 is 2730616411.

It can be written as a sum of positive squares in 4 ways, for example, as 5612107396 + 5849496324 = 74914^2 + 76482^2 .

It is not an unprimeable number, because it can be changed into a prime (11461603721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2171004 + ... + 2176276.

Almost surely, 2^11461603720 is an apocalyptic number.

11461603720 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 11461603720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15015869100).

11461603720 is an abundant number, since it is smaller than the sum of its proper divisors (18570134480).

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

11461603720 is a wasteful number, since it uses less digits than its factorization.

11461603720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6407 (or 6396 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The spelling of 11461603720 in words is "eleven billion, four hundred sixty-one million, six hundred three thousand, seven hundred twenty".