12527721440 has 192 divisors, whose sum is σ = 33682521600. Its totient is φ = 4365010944.

The previous prime is 12527721419. The next prime is 12527721499. The reversal of 12527721440 is 4412772521.

It is a self number, because there is not a number n which added to its sum of digits gives 12527721440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14187239 + ... + 14188121.

It is an arithmetic number, because the mean of its divisors is an integer number (175429800).

Almost surely, 2^12527721440 is an apocalyptic number.

12527721440 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 12527721440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16841260800).

12527721440 is an abundant number, since it is smaller than the sum of its proper divisors (21154800160).

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

12527721440 is a wasteful number, since it uses less digits than its factorization.

12527721440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 35.

The spelling of 12527721440 in words is "twelve billion, five hundred twenty-seven million, seven hundred twenty-one thousand, four hundred forty".