12535908952896 has 84 divisors (see below), whose sum is σ = 41065050968032. Its totient is φ = 3581688271104.

The previous prime is 12535908952891. The next prime is 12535908952943. The reversal of 12535908952896 is 69825980953521.

12535908952896 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 5 + 9 + 0 + 8 + 9 + 528 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12535908952891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1554548170 + ... + 1554556233.

Almost surely, 2^{12535908952896} is an apocalyptic number.

12535908952896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12535908952896 is an abundant number, since it is smaller than the sum of its proper divisors (28529142015136).

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

12535908952896 is a wasteful number, since it uses less digits than its factorization.

12535908952896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3109104428 (or 3109104415 counting only the distinct ones).

The product of its (nonzero) digits is 419904000, while the sum is 72.

The spelling of 12535908952896 in words is "twelve trillion, five hundred thirty-five billion, nine hundred eight million, nine hundred fifty-two thousand, eight hundred ninety-six".