12829578854400 has 3456 divisors, whose sum is σ = 61417967569920. Its totient is φ = 2579890176000.

The previous prime is 12829578854381. The next prime is 12829578854437. The reversal of 12829578854400 is 445887592821.

12829578854400 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 9 + 5 + 7 + 88 + 544 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 413857382385 + ... + 413857382415.

Almost surely, 2^{12829578854400} is an apocalyptic number.

12829578854400 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 12829578854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30708983784960).

12829578854400 is an abundant number, since it is smaller than the sum of its proper divisors (48588388715520).

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

12829578854400 is an frugal number, since it uses more digits than its factorization.

12829578854400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 63.

The spelling of 12829578854400 in words is "twelve trillion, eight hundred twenty-nine billion, five hundred seventy-eight million, eight hundred fifty-four thousand, four hundred".