12858784404480 has 1408 divisors, whose sum is σ = 53702799360000. Its totient is φ = 2916510105600.

The previous prime is 12858784404463. The next prime is 12858784404511. The reversal of 12858784404480 is 8440448785821.

12858784404480 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 8 + 78 + 440 + 44 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 6590867505 + ... + 6590869455.

Almost surely, 2^{12858784404480} is an apocalyptic number.

12858784404480 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 12858784404480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26851399680000).

12858784404480 is an abundant number, since it is smaller than the sum of its proper divisors (40844014955520).

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

12858784404480 is a wasteful number, since it uses less digits than its factorization.

12858784404480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2145 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 73400320, while the sum is 63.

The spelling of 12858784404480 in words is "twelve trillion, eight hundred fifty-eight billion, seven hundred eighty-four million, four hundred four thousand, four hundred eighty".