12505105788480 has 280 divisors, whose sum is σ = 44643474840888. Its totient is φ = 3322654359552.

The previous prime is 12505105788437. The next prime is 12505105788481. The reversal of 12505105788480 is 8488750150521.

It is a happy number.

12505105788480 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 510 + 5 + 7 + 88 + 48 + 0 = 666.

12505105788480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2900263496256 + 9604842292224 = 1703016^2 + 3099168^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12505105788481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6308992 + ... + 8050688.

Almost surely, 2^{12505105788480} is an apocalyptic number.

12505105788480 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 12505105788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22321737420444).

12505105788480 is an abundant number, since it is smaller than the sum of its proper divisors (32138369052408).

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

12505105788480 is a wasteful number, since it uses less digits than its factorization.

12505105788480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1742003 (or 1741984 counting only the distinct ones).

The product of its (nonzero) digits is 3584000, while the sum is 54.

The spelling of 12505105788480 in words is "twelve trillion, five hundred five billion, one hundred five million, seven hundred eighty-eight thousand, four hundred eighty".