11191455797760 has 1600 divisors, whose sum is σ = 49127868472320. Its totient is φ = 2376684011520.

The previous prime is 11191455797737. The next prime is 11191455797761. The reversal of 11191455797760 is 6779755419111.

11191455797760 is a `hidden beast` number, since 1 + 1 + 1 + 9 + 1 + 4 + 557 + 9 + 7 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (11191455797761) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1949388490 + ... + 1949394230.

Almost surely, 2^{11191455797760} is an apocalyptic number.

11191455797760 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 11191455797760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24563934236160).

11191455797760 is an abundant number, since it is smaller than the sum of its proper divisors (37936412674560).

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

11191455797760 is an equidigital number, since it uses as much as digits as its factorization.

11191455797760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5879 (or 5854 counting only the distinct ones).

The product of its (nonzero) digits is 16669800, while the sum is 63.

The spelling of 11191455797760 in words is "eleven trillion, one hundred ninety-one billion, four hundred fifty-five million, seven hundred ninety-seven thousand, seven hundred sixty".