12582495552000 has 1280 divisors, whose sum is σ = 50130957127680. Its totient is φ = 2763915264000.

The previous prime is 12582495551963. The next prime is 12582495552041. The reversal of 12582495552000 is 25559428521.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 922937184 + ... + 922950816.

It is an arithmetic number, because the mean of its divisors is an integer number (39164810256).

Almost surely, 2^{12582495552000} is an apocalyptic number.

12582495552000 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 12582495552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25065478563840).

12582495552000 is an abundant number, since it is smaller than the sum of its proper divisors (37548461575680).

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

12582495552000 is a wasteful number, since it uses less digits than its factorization.

12582495552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13722 (or 13696 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 48.

The spelling of 12582495552000 in words is "twelve trillion, five hundred eighty-two billion, four hundred ninety-five million, five hundred fifty-two thousand".