12497580828000 has 768 divisors, whose sum is σ = 47993850777600. Its totient is φ = 3150138470400.

The previous prime is 12497580827959. The next prime is 12497580828013. The reversal of 12497580828000 is 82808579421.

12497580828000 is a `hidden beast` number, since 12 + 49 + 7 + 580 + 8 + 2 + 8 + 0 + 0 + 0 = 666.

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

It is a congruent number.

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, 937757337 + ... + 937770663.

It is an arithmetic number, because the mean of its divisors is an integer number (62491993200).

Almost surely, 2^{12497580828000} is an apocalyptic number.

12497580828000 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 12497580828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23996925388800).

12497580828000 is an abundant number, since it is smaller than the sum of its proper divisors (35496269949600).

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

12497580828000 is a wasteful number, since it uses less digits than its factorization.

12497580828000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13837 (or 13813 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 12497580828000 in words is "twelve trillion, four hundred ninety-seven billion, five hundred eighty million, eight hundred twenty-eight thousand".