11096399381760 has 4320 divisors, whose sum is σ = 53714736472320. Its totient is φ = 2158932787200.

The previous prime is 11096399381701. The next prime is 11096399381779. The reversal of 11096399381760 is 6718399369011.

11096399381760 is a `hidden beast` number, since 1 + 10 + 96 + 3 + 99 + 381 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 66445505197 + ... + 66445505363.

It is an arithmetic number, because the mean of its divisors is an integer number (12433966776).

Almost surely, 2^{11096399381760} is an apocalyptic number.

11096399381760 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 11096399381760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26857368236160).

11096399381760 is an abundant number, since it is smaller than the sum of its proper divisors (42618337090560).

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

11096399381760 is a wasteful number, since it uses less digits than its factorization.

11096399381760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 63.

The spelling of 11096399381760 in words is "eleven trillion, ninety-six billion, three hundred ninety-nine million, three hundred eighty-one thousand, seven hundred sixty".