12508950528000 has 1280 divisors, whose sum is σ = 47947618461600. Its totient is φ = 3242380492800.

The previous prime is 12508950527989. The next prime is 12508950528001. The reversal of 12508950528000 is 82505980521.

It is a happy number.

12508950528000 is a `hidden beast` number, since 1 + 2 + 508 + 95 + 0 + 52 + 8 + 0 + 0 + 0 = 666.

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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12508950528001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12275711491 + ... + 12275712509.

Almost surely, 2^{12508950528000} is an apocalyptic number.

12508950528000 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 12508950528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23973809230800).

12508950528000 is an abundant number, since it is smaller than the sum of its proper divisors (35438667933600).

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

12508950528000 is an frugal number, since it uses more digits than its factorization.

12508950528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 12508950528000 in words is "twelve trillion, five hundred eight billion, nine hundred fifty million, five hundred twenty-eight thousand".