12580157358720 has 1152 divisors, whose sum is σ = 52587839304000. Its totient is φ = 2760832843776.

The previous prime is 12580157358709. The next prime is 12580157358757. The reversal of 12580157358720 is 2785375108521.

It is a happy number.

12580157358720 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 0 + 1 + 57 + 3 + 587 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 716034096 + ... + 716051664.

Almost surely, 2^{12580157358720} is an apocalyptic number.

12580157358720 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 12580157358720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26293919652000).

12580157358720 is an abundant number, since it is smaller than the sum of its proper divisors (40007681945280).

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

12580157358720 is a wasteful number, since it uses less digits than its factorization.

12580157358720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17710 (or 17688 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 54.

The spelling of 12580157358720 in words is "twelve trillion, five hundred eighty billion, one hundred fifty-seven million, three hundred fifty-eight thousand, seven hundred twenty".