1257170530560 has 1296 divisors, whose sum is σ = 5056158260160. Its totient is φ = 265314631680.

The previous prime is 1257170530549. The next prime is 1257170530591. The reversal of 1257170530560 is 650350717521.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3317072451 + ... + 3317072829.

Almost surely, 2^{1257170530560} is an apocalyptic number.

1257170530560 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 1257170530560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2528079130080).

1257170530560 is an abundant number, since it is smaller than the sum of its proper divisors (3798987729600).

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

1257170530560 is a wasteful number, since it uses less digits than its factorization.

1257170530560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 220500, while the sum is 42.

The spelling of 1257170530560 in words is "one trillion, two hundred fifty-seven billion, one hundred seventy million, five hundred thirty thousand, five hundred sixty".