12852957525408 has 2880 divisors, whose sum is σ = 54992613747456. Its totient is φ = 2842656768000.

The previous prime is 12852957525403. The next prime is 12852957525413. The reversal of 12852957525408 is 80452575925821.

12852957525408 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 2 + 9 + 575 + 2 + 54 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (12852957525403) and next prime (12852957525413).

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

It is not an unprimeable number, because it can be changed into a prime (12852957525403) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 45740062228 + ... + 45740062508.

Almost surely, 2^{12852957525408} is an apocalyptic number.

12852957525408 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 12852957525408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27496306873728).

12852957525408 is an abundant number, since it is smaller than the sum of its proper divisors (42139656222048).

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

12852957525408 is a wasteful number, since it uses less digits than its factorization.

12852957525408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 80640000, while the sum is 63.

The spelling of 12852957525408 in words is "twelve trillion, eight hundred fifty-two billion, nine hundred fifty-seven million, five hundred twenty-five thousand, four hundred eight".