11519093649440 has 96 divisors (see below), whose sum is σ = 29319732025920. Its totient is φ = 4251389819904.

The previous prime is 11519093649431. The next prime is 11519093649443. The reversal of 11519093649440 is 4494639091511.

It is a super-2 number, since 2×11519093649440² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11519093649443) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3701951 + ... + 6061569.

It is an arithmetic number, because the mean of its divisors is an integer number (305413875270).

Almost surely, 2^{11519093649440} is an apocalyptic number.

11519093649440 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 11519093649440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14659866012960).

11519093649440 is an abundant number, since it is smaller than the sum of its proper divisors (17800638376480).

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

11519093649440 is a wasteful number, since it uses less digits than its factorization.

11519093649440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2361994 (or 2361986 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 56.

The spelling of 11519093649440 in words is "eleven trillion, five hundred nineteen billion, ninety-three million, six hundred forty-nine thousand, four hundred forty".