12527412480 has 576 divisors, whose sum is σ = 50107760640. Its totient is φ = 2936217600.

The previous prime is 12527412467. The next prime is 12527412503. The reversal of 12527412480 is 8421472521.

12527412480 is a `hidden beast` number, since 1 + 2 + 527 + 4 + 124 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11784429 + ... + 11785491.

It is an arithmetic number, because the mean of its divisors is an integer number (86992640).

Almost surely, 2^12527412480 is an apocalyptic number.

12527412480 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 12527412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25053880320).

12527412480 is an abundant number, since it is smaller than the sum of its proper divisors (37580348160).

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

12527412480 is a wasteful number, since it uses less digits than its factorization.

12527412480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 12527412480 in words is "twelve billion, five hundred twenty-seven million, four hundred twelve thousand, four hundred eighty".