11587419648 has 720 divisors, whose sum is σ = 42632338320. Its totient is φ = 3009871872.

The previous prime is 11587419607. The next prime is 11587419671. The reversal of 11587419648 is 84691478511.

11587419648 is a `hidden beast` number, since 1 + 1 + 587 + 4 + 19 + 6 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11587419594 and 11587419603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 158731740 + ... + 158731812.

It is an arithmetic number, because the mean of its divisors is an integer number (59211581).

Almost surely, 2^11587419648 is an apocalyptic number.

11587419648 is a gapful number since it is divisible by the number (18) 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 11587419648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21316169160).

11587419648 is an abundant number, since it is smaller than the sum of its proper divisors (31044918672).

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

11587419648 is a wasteful number, since it uses less digits than its factorization.

11587419648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 141 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The spelling of 11587419648 in words is "eleven billion, five hundred eighty-seven million, four hundred nineteen thousand, six hundred forty-eight".