11199120692544 has 224 divisors, whose sum is σ = 34814302817280. Its totient is φ = 3524506214400.

The previous prime is 11199120692527. The next prime is 11199120692623. The reversal of 11199120692544 is 44529602199111.

11199120692544 is a `hidden beast` number, since 1 + 1 + 1 + 9 + 9 + 1 + 2 + 0 + 6 + 92 + 544 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353269 + ... + 4745844.

It is an arithmetic number, because the mean of its divisors is an integer number (155420994720).

Almost surely, 2^{11199120692544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11199120692544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17407151408640).

11199120692544 is an abundant number, since it is smaller than the sum of its proper divisors (23615182124736).

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

11199120692544 is a wasteful number, since it uses less digits than its factorization.

11199120692544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5099206 (or 5099190 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 11199120692544 in words is "eleven trillion, one hundred ninety-nine billion, one hundred twenty million, six hundred ninety-two thousand, five hundred forty-four".