12516275520 has 560 divisors, whose sum is σ = 51461993088. Its totient is φ = 2828390400.

The previous prime is 12516275467. The next prime is 12516275521. The reversal of 12516275520 is 2557261521.

12516275520 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 62 + 75 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (12516275521) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18325099 + ... + 18325781.

Almost surely, 2^12516275520 is an apocalyptic number.

12516275520 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 12516275520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25730996544).

12516275520 is an abundant number, since it is smaller than the sum of its proper divisors (38945717568).

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

12516275520 is a wasteful number, since it uses less digits than its factorization.

12516275520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 12516275520 in words is "twelve billion, five hundred sixteen million, two hundred seventy-five thousand, five hundred twenty".