12527813445120 has 640 divisors, whose sum is σ = 45380822762880. Its totient is φ = 3316162166784.

The previous prime is 12527813445109. The next prime is 12527813445151. The reversal of 12527813445120 is 2154431872521.

It is a happy number.

12527813445120 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 7 + 81 + 3 + 445 + 120 = 666.

12527813445120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×12527813445120² (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 63 ways as a sum of consecutive naturals, for example, 767016474 + ... + 767032806.

It is an arithmetic number, because the mean of its divisors is an integer number (70907535567).

Almost surely, 2^{12527813445120} is an apocalyptic number.

12527813445120 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 12527813445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22690411381440).

12527813445120 is an abundant number, since it is smaller than the sum of its proper divisors (32853009317760).

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

12527813445120 is an frugal number, since it uses more digits than its factorization.

12527813445120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16514 (or 16480 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 12527813445120 in words is "twelve trillion, five hundred twenty-seven billion, eight hundred thirteen million, four hundred forty-five thousand, one hundred twenty".