12570470681760 has 288 divisors, whose sum is σ = 43419464944128. Its totient is φ = 3311427225600.

The previous prime is 12570470681759. The next prime is 12570470681761. The reversal of 12570470681760 is 6718607407521.

12570470681760 is a `hidden beast` number, since 1 + 2 + 57 + 0 + 470 + 68 + 1 + 7 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (12570470681759) and next prime (12570470681761).

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 12570470681697 and 12570470681706.

It is not an unprimeable number, because it can be changed into a prime (12570470681761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64332369 + ... + 64527471.

It is an arithmetic number, because the mean of its divisors is an integer number (150762031056).

Almost surely, 2^{12570470681760} is an apocalyptic number.

12570470681760 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 12570470681760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21709732472064).

12570470681760 is an abundant number, since it is smaller than the sum of its proper divisors (30848994262368).

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

12570470681760 is a wasteful number, since it uses less digits than its factorization.

12570470681760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195668 (or 195657 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 12570470681760 in words is "twelve trillion, five hundred seventy billion, four hundred seventy million, six hundred eighty-one thousand, seven hundred sixty".