11519482534560 has 4608 divisors, whose sum is σ = 60554358079488. Its totient is φ = 1986515435520.

The previous prime is 11519482534559. The next prime is 11519482534661. The reversal of 11519482534560 is 6543528491511.

11519482534560 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 9 + 48 + 2 + 5 + 34 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11519482534497 and 11519482534506.

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 767 ways as a sum of consecutive naturals, for example, 15217281702 + ... + 15217282458.

It is an arithmetic number, because the mean of its divisors is an integer number (13141136736).

Almost surely, 2^{11519482534560} is an apocalyptic number.

11519482534560 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 11519482534560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30277179039744).

11519482534560 is an abundant number, since it is smaller than the sum of its proper divisors (49034875544928).

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

11519482534560 is a wasteful number, since it uses less digits than its factorization.

11519482534560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 11519482534560 in words is "eleven trillion, five hundred nineteen billion, four hundred eighty-two million, five hundred thirty-four thousand, five hundred sixty".