12557220480 has 256 divisors, whose sum is σ = 50827334400. Its totient is φ = 2870194176.

The previous prime is 12557220449. The next prime is 12557220491. The reversal of 12557220480 is 8402275521.

It is a happy number.

12557220480 is a `hidden beast` number, since 1 + 2 + 5 + 572 + 2 + 0 + 4 + 80 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69054 + ... + 172866.

It is an arithmetic number, because the mean of its divisors is an integer number (198544275).

Almost surely, 2^12557220480 is an apocalyptic number.

12557220480 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 12557220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25413667200).

12557220480 is an abundant number, since it is smaller than the sum of its proper divisors (38270113920).

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

12557220480 is a wasteful number, since it uses less digits than its factorization.

12557220480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103848 (or 103830 counting only the distinct ones).

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

The spelling of 12557220480 in words is "twelve billion, five hundred fifty-seven million, two hundred twenty thousand, four hundred eighty".