12801850604928 has 768 divisors, whose sum is σ = 48790576074240. Its totient is φ = 3119251783680.

The previous prime is 12801850604891. The next prime is 12801850604957. The reversal of 12801850604928 is 82940605810821.

12801850604928 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 1 + 8 + 5 + 0 + 604 + 9 + 28 = 666.

It is a super-3 number, since 3×12801850604928³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 462932350 + ... + 462960002.

It is an arithmetic number, because the mean of its divisors is an integer number (63529395930).

Almost surely, 2^{12801850604928} is an apocalyptic number.

12801850604928 is a gapful number since it is divisible by the number (18) 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 12801850604928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24395288037120).

12801850604928 is an abundant number, since it is smaller than the sum of its proper divisors (35988725469312).

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

12801850604928 is a wasteful number, since it uses less digits than its factorization.

12801850604928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28015 (or 28000 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 12801850604928 in words is "twelve trillion, eight hundred one billion, eight hundred fifty million, six hundred four thousand, nine hundred twenty-eight".