12815827188480 has 1152 divisors, whose sum is σ = 49153593968640. Its totient is φ = 3154074992640.

The previous prime is 12815827188473. The next prime is 12815827188511. The reversal of 12815827188480 is 8488172851821.

12815827188480 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 5 + 8 + 2 + 71 + 88 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2569844547 + ... + 2569849533.

It is an arithmetic number, because the mean of its divisors is an integer number (42668050320).

Almost surely, 2^{12815827188480} is an apocalyptic number.

12815827188480 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 12815827188480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24576796984320).

12815827188480 is an abundant number, since it is smaller than the sum of its proper divisors (36337766780160).

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

12815827188480 is a wasteful number, since it uses less digits than its factorization.

12815827188480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5154 (or 5134 counting only the distinct ones).

The product of its (nonzero) digits is 18350080, while the sum is 63.

The spelling of 12815827188480 in words is "twelve trillion, eight hundred fifteen billion, eight hundred twenty-seven million, one hundred eighty-eight thousand, four hundred eighty".