12535265520 has 480 divisors, whose sum is σ = 46441848960. Its totient is φ = 3016949760.

The previous prime is 12535265507. The next prime is 12535265527. The reversal of 12535265520 is 2556253521.

12535265520 is a `hidden beast` number, since 1 + 2 + 53 + 52 + 6 + 552 + 0 = 666.

It is a Cunningham number, because it is equal to 111961²-1.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12535265527) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40306165 + ... + 40306475.

It is an arithmetic number, because the mean of its divisors is an integer number (96753852).

Almost surely, 2^12535265520 is an apocalyptic number.

12535265520 is a gapful number since it is divisible by the number (10) 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 12535265520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23220924480).

12535265520 is an abundant number, since it is smaller than the sum of its proper divisors (33906583440).

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

12535265520 is a wasteful number, since it uses less digits than its factorization.

12535265520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 12535265520 in words is "twelve billion, five hundred thirty-five million, two hundred sixty-five thousand, five hundred twenty".