12535356096 has 448 divisors, whose sum is σ = 42252595200. Its totient is φ = 3619012608.

The previous prime is 12535356049. The next prime is 12535356107. The reversal of 12535356096 is 69065353521.

12535356096 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 5 + 35 + 609 + 6 = 666.

It is a super-2 number, since 2×12535356096² (a number of 21 digits) contains 22 as substring.

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, 20651025 + ... + 20651631.

Almost surely, 2^12535356096 is an apocalyptic number.

12535356096 is a gapful number since it is divisible by the number (16) 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 12535356096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21126297600).

12535356096 is an abundant number, since it is smaller than the sum of its proper divisors (29717239104).

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

12535356096 is a wasteful number, since it uses less digits than its factorization.

12535356096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 45.

The spelling of 12535356096 in words is "twelve billion, five hundred thirty-five million, three hundred fifty-six thousand, ninety-six".