11535486939648 has 800 divisors, whose sum is σ = 41030202470400. Its totient is φ = 3156853948416.

The previous prime is 11535486939617. The next prime is 11535486939689. The reversal of 11535486939648 is 84693968453511.

It is a happy number.

11535486939648 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 548 + 6 + 9 + 39 + 6 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1069184238 + ... + 1069195026.

It is an arithmetic number, because the mean of its divisors is an integer number (51287753088).

Almost surely, 2^{11535486939648} is an apocalyptic number.

11535486939648 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 11535486939648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20515101235200).

11535486939648 is an abundant number, since it is smaller than the sum of its proper divisors (29494715530752).

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

11535486939648 is a wasteful number, since it uses less digits than its factorization.

11535486939648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10982 (or 10957 counting only the distinct ones).

The product of its digits is 671846400, while the sum is 72.

The spelling of 11535486939648 in words is "eleven trillion, five hundred thirty-five billion, four hundred eighty-six million, nine hundred thirty-nine thousand, six hundred forty-eight".