1257947983760 has 80 divisors (see below), whose sum is σ = 3150759380160. Its totient is φ = 464318092800.

The previous prime is 1257947983711. The next prime is 1257947983769. The reversal of 1257947983760 is 673897497521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1257947983769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2939435 + ... + 3340085.

It is an arithmetic number, because the mean of its divisors is an integer number (39384492252).

It is a 1-persistent number, because it is pandigital, but 2⋅1257947983760 = 2515895967520 is not.

Almost surely, 2^{1257947983760} is an apocalyptic number.

1257947983760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1257947983760 is an abundant number, since it is smaller than the sum of its proper divisors (1892811396400).

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

1257947983760 is a wasteful number, since it uses less digits than its factorization.

1257947983760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403696 (or 403690 counting only the distinct ones).

The product of its (nonzero) digits is 160030080, while the sum is 68.

The spelling of 1257947983760 in words is "one trillion, two hundred fifty-seven billion, nine hundred forty-seven million, nine hundred eighty-three thousand, seven hundred sixty".