11198653980720 has 320 divisors, whose sum is σ = 35349694617600. Its totient is φ = 2932248084480.

The previous prime is 11198653980593. The next prime is 11198653980733. The reversal of 11198653980720 is 2708935689111.

It is a Cunningham number, because it is equal to 3346439²-1.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2737385875 + ... + 2737389965.

It is an arithmetic number, because the mean of its divisors is an integer number (110467795680).

Almost surely, 2^{11198653980720} is an apocalyptic number.

11198653980720 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 11198653980720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17674847308800).

11198653980720 is an abundant number, since it is smaller than the sum of its proper divisors (24151040636880).

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

11198653980720 is a wasteful number, since it uses less digits than its factorization.

11198653980720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4948 (or 4942 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 60.

The spelling of 11198653980720 in words is "eleven trillion, one hundred ninety-eight billion, six hundred fifty-three million, nine hundred eighty thousand, seven hundred twenty".