12487107790080 has 1728 divisors, whose sum is σ = 55276018237440. Its totient is φ = 2527469568000.

The previous prime is 12487107790033. The next prime is 12487107790093. The reversal of 12487107790080 is 8009770178421.

12487107790080 is a `hidden beast` number, since 1 + 2 + 487 + 1 + 0 + 77 + 90 + 0 + 8 + 0 = 666.

It is a super-3 number, since 3×12487107790080³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 12487107789999 and 12487107790026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7098980241 + ... + 7098981999.

It is an arithmetic number, because the mean of its divisors is an integer number (31988436480).

Almost surely, 2^{12487107790080} is an apocalyptic number.

12487107790080 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 12487107790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27638009118720).

12487107790080 is an abundant number, since it is smaller than the sum of its proper divisors (42788910447360).

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

12487107790080 is a wasteful number, since it uses less digits than its factorization.

12487107790080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 1991 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 54.

The spelling of 12487107790080 in words is "twelve trillion, four hundred eighty-seven billion, one hundred seven million, seven hundred ninety thousand, eighty".