12821877434880 has 640 divisors, whose sum is σ = 46945211385600. Its totient is φ = 3315169492992.

The previous prime is 12821877434819. The next prime is 12821877434881. The reversal of 12821877434880 is 8843477812821.

12821877434880 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 1 + 87 + 74 + 3 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×12821877434880² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12821877434881) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 407170176 + ... + 407201664.

It is an arithmetic number, because the mean of its divisors is an integer number (73351892790).

Almost surely, 2^{12821877434880} is an apocalyptic number.

12821877434880 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 12821877434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23472605692800).

12821877434880 is an abundant number, since it is smaller than the sum of its proper divisors (34123333950720).

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

12821877434880 is a wasteful number, since it uses less digits than its factorization.

12821877434880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31701 (or 31679 counting only the distinct ones).

The product of its (nonzero) digits is 38535168, while the sum is 63.

The spelling of 12821877434880 in words is "twelve trillion, eight hundred twenty-one billion, eight hundred seventy-seven million, four hundred thirty-four thousand, eight hundred eighty".