12852075479040 has 1920 divisors, whose sum is σ = 53966965893120. Its totient is φ = 2841573851136.

The previous prime is 12852075479021. The next prime is 12852075479143. The reversal of 12852075479040 is 4097457025821.

12852075479040 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 2 + 0 + 7 + 547 + 90 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 93810769852 + ... + 93810769988.

It is an arithmetic number, because the mean of its divisors is an integer number (28107794736).

Almost surely, 2^{12852075479040} is an apocalyptic number.

12852075479040 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 12852075479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26983482946560).

12852075479040 is an abundant number, since it is smaller than the sum of its proper divisors (41114890414080).

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

12852075479040 is an equidigital number, since it uses as much as digits as its factorization.

12852075479040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 12852075479040 in words is "twelve trillion, eight hundred fifty-two billion, seventy-five million, four hundred seventy-nine thousand, forty".