1257888768 has 176 divisors, whose sum is σ = 3686565120. Its totient is φ = 379551744.

The previous prime is 1257888727. The next prime is 1257888781. The reversal of 1257888768 is 8678887521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1341996 + ... + 1342932.

Almost surely, 2^1257888768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1257888768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843282560).

1257888768 is an abundant number, since it is smaller than the sum of its proper divisors (2428676352).

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

1257888768 is a wasteful number, since it uses less digits than its factorization.

1257888768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 984 counting only the distinct ones).

The product of its digits is 12042240, while the sum is 60.

The square root of 1257888768 is about 35466.7276189952. The cubic root of 1257888768 is about 1079.4787058984.

The spelling of 1257888768 in words is "one billion, two hundred fifty-seven million, eight hundred eighty-eight thousand, seven hundred sixty-eight".