12748005504 has 512 divisors, whose sum is σ = 42716620800. Its totient is φ = 3762339840.

The previous prime is 12748005499. The next prime is 12748005541. The reversal of 12748005504 is 40550084721.

12748005504 is a `hidden beast` number, since 1 + 2 + 74 + 80 + 0 + 5 + 504 = 666.

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 63 ways as a sum of consecutive naturals, for example, 112814152 + ... + 112814264.

It is an arithmetic number, because the mean of its divisors is an integer number (83430900).

Almost surely, 2^12748005504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12748005504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21358310400).

12748005504 is an abundant number, since it is smaller than the sum of its proper divisors (29968615296).

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

12748005504 is an equidigital number, since it uses as much as digits as its factorization.

12748005504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 12748005504 in words is "twelve billion, seven hundred forty-eight million, five thousand, five hundred four".