1257546228960 has 96 divisors (see below), whose sum is σ = 4527166436352. Its totient is φ = 287439137280.

The previous prime is 1257546228949. The next prime is 1257546229007. The reversal of 1257546228960 is 698226457521.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1257546228960.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 187131496 + ... + 187138215.

It is an arithmetic number, because the mean of its divisors is an integer number (47157983712).

Almost surely, 2^{1257546228960} is an apocalyptic number.

1257546228960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1257546228960 is an abundant number, since it is smaller than the sum of its proper divisors (3269620207392).

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

1257546228960 is a wasteful number, since it uses less digits than its factorization.

1257546228960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374269736 (or 374269728 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 57.

The spelling of 1257546228960 in words is "one trillion, two hundred fifty-seven billion, five hundred forty-six million, two hundred twenty-eight thousand, nine hundred sixty".