11935285488 has 240 divisors, whose sum is σ = 40207664640. Its totient is φ = 3231207936.

The previous prime is 11935285469. The next prime is 11935285513. The reversal of 11935285488 is 88458253911.

11935285488 is a `hidden beast` number, since 1 + 1 + 93 + 5 + 2 + 8 + 548 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2524695 + ... + 2529417.

It is an arithmetic number, because the mean of its divisors is an integer number (167531936).

Almost surely, 2^11935285488 is an apocalyptic number.

11935285488 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 11935285488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20103832320).

11935285488 is an abundant number, since it is smaller than the sum of its proper divisors (28272379152).

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

11935285488 is a wasteful number, since it uses less digits than its factorization.

11935285488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4876 (or 4867 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 54.

The spelling of 11935285488 in words is "eleven billion, nine hundred thirty-five million, two hundred eighty-five thousand, four hundred eighty-eight".