1257985872 has 120 divisors (see below), whose sum is σ = 4136172768. Its totient is φ = 351878400.

The previous prime is 1257985871. The next prime is 1257985889. The reversal of 1257985872 is 2785897521.

1257985872 is a `hidden beast` number, since 1 + 2 + 57 + 9 + 8 + 587 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1257985871) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 9954 + ... + 51137.

Almost surely, 2^1257985872 is an apocalyptic number.

1257985872 is a gapful number since it is divisible by the number (12) 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 1257985872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068086384).

1257985872 is an abundant number, since it is smaller than the sum of its proper divisors (2878186896).

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

1257985872 is a wasteful number, since it uses less digits than its factorization.

1257985872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61129 (or 61120 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 54.

The square root of 1257985872 is about 35468.0965375928. The cubic root of 1257985872 is about 1079.5064823351.

The spelling of 1257985872 in words is "one billion, two hundred fifty-seven million, nine hundred eighty-five thousand, eight hundred seventy-two".