11199545118720 has 1456 divisors, whose sum is σ = 47012749065600. Its totient is φ = 2559896027136.

The previous prime is 11199545118709. The next prime is 11199545118803. The reversal of 11199545118720 is 2781154599111.

11199545118720 is a `hidden beast` number, since 1 + 1 + 1 + 9 + 9 + 5 + 451 + 187 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1599935016957 + ... + 1599935016963.

Almost surely, 2^{11199545118720} is an apocalyptic number.

11199545118720 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 11199545118720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23506374532800).

11199545118720 is an abundant number, since it is smaller than the sum of its proper divisors (35813203946880).

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

11199545118720 is an frugal number, since it uses more digits than its factorization.

11199545118720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 54.

The spelling of 11199545118720 in words is "eleven trillion, one hundred ninety-nine billion, five hundred forty-five million, one hundred eighteen thousand, seven hundred twenty".