12827243520 has 1584 divisors, whose sum is σ = 61158464640. Its totient is φ = 2452488192.

The previous prime is 12827243449. The next prime is 12827243551. The reversal of 12827243520 is 2534272821.

12827243520 is a `hidden beast` number, since 1 + 28 + 2 + 72 + 43 + 520 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 557706229 + ... + 557706251.

Almost surely, 2^12827243520 is an apocalyptic number.

12827243520 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 12827243520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30579232320).

12827243520 is an abundant number, since it is smaller than the sum of its proper divisors (48331221120).

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

12827243520 is a wasteful number, since it uses less digits than its factorization.

12827243520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 12827243520 in words is "twelve billion, eight hundred twenty-seven million, two hundred forty-three thousand, five hundred twenty".