12529520640 has 1040 divisors, whose sum is σ = 55946233728. Its totient is φ = 2611740672.

The previous prime is 12529520639. The next prime is 12529520681. The reversal of 12529520640 is 4602592521.

12529520640 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 9 + 5 + 2 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1040).

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

It is a junction number, because it is equal to n+sod(n) for n = 12529520595 and 12529520604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 150958039 + ... + 150958121.

Almost surely, 2^12529520640 is an apocalyptic number.

12529520640 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 12529520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27973116864).

12529520640 is an abundant number, since it is smaller than the sum of its proper divisors (43416713088).

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

12529520640 is an equidigital number, since it uses as much as digits as its factorization.

12529520640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 12529520640 in words is "twelve billion, five hundred twenty-nine million, five hundred twenty thousand, six hundred forty".