11535513259048 has 256 divisors, whose sum is σ = 23963052960000. Its totient is φ = 5187012526080.

The previous prime is 11535513259009. The next prime is 11535513259057. The reversal of 11535513259048 is 84095231553511.

It is a super-2 number, since 2×11535513259048² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11535513258986 and 11535513259004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17504572143 + ... + 17504572801.

It is an arithmetic number, because the mean of its divisors is an integer number (93605675625).

Almost surely, 2^{11535513259048} is an apocalyptic number.

It is an amenable number.

11535513259048 is an abundant number, since it is smaller than the sum of its proper divisors (12427539700952).

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

11535513259048 is a wasteful number, since it uses less digits than its factorization.

11535513259048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 52.

The spelling of 11535513259048 in words is "eleven trillion, five hundred thirty-five billion, five hundred thirteen million, two hundred fifty-nine thousand, forty-eight".