12516019246080 has 1056 divisors, whose sum is σ = 52588002504960. Its totient is φ = 2686907842560.

The previous prime is 12516019246051. The next prime is 12516019246111. The reversal of 12516019246080 is 8064291061521.

12516019246080 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 6 + 0 + 19 + 24 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2966582211 + ... + 2966586429.

Almost surely, 2^{12516019246080} is an apocalyptic number.

12516019246080 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 12516019246080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26294001252480).

12516019246080 is an abundant number, since it is smaller than the sum of its proper divisors (40071983258880).

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

12516019246080 is a wasteful number, since it uses less digits than its factorization.

12516019246080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4815 (or 4794 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 12516019246080 in words is "twelve trillion, five hundred sixteen billion, nineteen million, two hundred forty-six thousand, eighty".