11519382420 has 576 divisors, whose sum is σ = 44895352320. Its totient is φ = 2326081536.

The previous prime is 11519382409. The next prime is 11519382437. The reversal of 11519382420 is 2428391511.

11519382420 is a `hidden beast` number, since 1 + 151 + 9 + 3 + 82 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50302866 + ... + 50303094.

It is an arithmetic number, because the mean of its divisors is an integer number (77943320).

Almost surely, 2^11519382420 is an apocalyptic number.

11519382420 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 11519382420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22447676160).

11519382420 is an abundant number, since it is smaller than the sum of its proper divisors (33375969900).

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

11519382420 is a wasteful number, since it uses less digits than its factorization.

11519382420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Subtracting from 11519382420 its reverse (2428391511), we obtain a palindrome (9090990909).

The spelling of 11519382420 in words is "eleven billion, five hundred nineteen million, three hundred eighty-two thousand, four hundred twenty".