12817442880 has 252 divisors, whose sum is σ = 48460211436. Its totient is φ = 3107174400.

The previous prime is 12817442863. The next prime is 12817442887. The reversal of 12817442880 is 8824471821.

12817442880 is a `hidden beast` number, since 1 + 2 + 81 + 74 + 428 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1610256384 + 11207186496 = 40128^2 + 105864^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12817442887) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 330090 + ... + 366870.

Almost surely, 2^12817442880 is an apocalyptic number.

12817442880 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 12817442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24230105718).

12817442880 is an abundant number, since it is smaller than the sum of its proper divisors (35642768556).

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

12817442880 is a wasteful number, since it uses less digits than its factorization.

12817442880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36826 (or 36802 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 12817442880 in words is "twelve billion, eight hundred seventeen million, four hundred forty-two thousand, eight hundred eighty".