1257886641060 has 108 divisors (see below), whose sum is σ = 4438542893148. Its totient is φ = 287516944512.

The previous prime is 1257886641047. The next prime is 1257886641101. The reversal of 1257886641060 is 601466887521.

1257886641060 is a `hidden beast` number, since 1 + 2 + 578 + 8 + 6 + 6 + 4 + 1 + 0 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 689394768804 + 568491872256 = 830298^2 + 753984^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1257886640988 and 1257886641006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 71299947 + ... + 71317586.

It is an arithmetic number, because the mean of its divisors is an integer number (41097619381).

Almost surely, 2^{1257886641060} is an apocalyptic number.

1257886641060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1257886641060 is an abundant number, since it is smaller than the sum of its proper divisors (3180656252088).

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

1257886641060 is a wasteful number, since it uses less digits than its factorization.

1257886641060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142617562 (or 142617550 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 1257886641060 in words is "one trillion, two hundred fifty-seven billion, eight hundred eighty-six million, six hundred forty-one thousand, sixty".