12526201766496 has 384 divisors, whose sum is σ = 38725206589440. Its totient is φ = 3504171110400.

The previous prime is 12526201766471. The next prime is 12526201766501. The reversal of 12526201766496 is 69466710262521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

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, 729658905 + ... + 729676071.

It is an arithmetic number, because the mean of its divisors is an integer number (100846892160).

Almost surely, 2^{12526201766496} is an apocalyptic number.

12526201766496 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 12526201766496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19362603294720).

12526201766496 is an abundant number, since it is smaller than the sum of its proper divisors (26199004822944).

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

12526201766496 is a wasteful number, since it uses less digits than its factorization.

12526201766496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18138 (or 18130 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 12526201766496 in words is "twelve trillion, five hundred twenty-six billion, two hundred one million, seven hundred sixty-six thousand, four hundred ninety-six".