11200461517616 has 80 divisors (see below), whose sum is σ = 24941019267840. Its totient is φ = 4773154901760.

The previous prime is 11200461517607. The next prime is 11200461517631. The reversal of 11200461517616 is 61671516400211.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19907531 + ... + 20462421.

It is an arithmetic number, because the mean of its divisors is an integer number (311762740848).

Almost surely, 2^{11200461517616} is an apocalyptic number.

11200461517616 is a gapful number since it is divisible by the number (16) 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 11200461517616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12470509633920).

11200461517616 is an abundant number, since it is smaller than the sum of its proper divisors (13740557750224).

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

11200461517616 is a wasteful number, since it uses less digits than its factorization.

11200461517616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555922 (or 555916 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 41.

Adding to 11200461517616 its reverse (61671516400211), we get a palindrome (72871977917827).

The spelling of 11200461517616 in words is "eleven trillion, two hundred billion, four hundred sixty-one million, five hundred seventeen thousand, six hundred sixteen".