12854530160640 has 1152 divisors, whose sum is σ = 53245330145280. Its totient is φ = 2804322926592.

The previous prime is 12854530160599. The next prime is 12854530160669. The reversal of 12854530160640 is 4606103545821.

12854530160640 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 4 + 5 + 30 + 1 + 606 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

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 95 ways as a sum of consecutive naturals, for example, 11825694177 + ... + 11825695263.

It is an arithmetic number, because the mean of its divisors is an integer number (46219904640).

Almost surely, 2^{12854530160640} is an apocalyptic number.

12854530160640 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 12854530160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26622665072640).

12854530160640 is an abundant number, since it is smaller than the sum of its proper divisors (40390799984640).

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

12854530160640 is a wasteful number, since it uses less digits than its factorization.

12854530160640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 12854530160640 in words is "twelve trillion, eight hundred fifty-four billion, five hundred thirty million, one hundred sixty thousand, six hundred forty".