12815505072 has 320 divisors, whose sum is σ = 39276950400. Its totient is φ = 4044515328.

The previous prime is 12815505023. The next prime is 12815505083. The reversal of 12815505072 is 27050551821.

12815505072 is a `hidden beast` number, since 1 + 2 + 81 + 5 + 505 + 0 + 72 = 666.

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

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, 74077978 + ... + 74078150.

It is an arithmetic number, because the mean of its divisors is an integer number (122740470).

Almost surely, 2^12815505072 is an apocalyptic number.

12815505072 is a gapful number since it is divisible by the number (12) 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 12815505072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19638475200).

12815505072 is an abundant number, since it is smaller than the sum of its proper divisors (26461445328).

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

12815505072 is an equidigital number, since it uses as much as digits as its factorization.

12815505072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 36.

The spelling of 12815505072 in words is "twelve billion, eight hundred fifteen million, five hundred five thousand, seventy-two".