12805030667520 has 1296 divisors, whose sum is σ = 55598974219152. Its totient is φ = 2696993832960.

The previous prime is 12805030667509. The next prime is 12805030667537. The reversal of 12805030667520 is 2576603050821.

12805030667520 is a `hidden beast` number, since 1 + 2 + 80 + 503 + 0 + 6 + 67 + 5 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5842778489856 + 6962252177664 = 2417184^2 + 2638608^2 .

It is a super-2 number, since 2×12805030667520² (a number of 27 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 5584399494 + ... + 5584401786.

Almost surely, 2^{12805030667520} is an apocalyptic number.

12805030667520 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 12805030667520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27799487109576).

12805030667520 is an abundant number, since it is smaller than the sum of its proper divisors (42793943551632).

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

12805030667520 is a wasteful number, since it uses less digits than its factorization.

12805030667520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3108 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 12805030667520 in words is "twelve trillion, eight hundred five billion, thirty million, six hundred sixty-seven thousand, five hundred twenty".