1057710000 has 100 divisors (see below), whose sum is σ = 3414525752. Its totient is φ = 282048000.

The previous prime is 1057709999. The next prime is 1057710013. The reversal of 1057710000 is 177501.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×1057710000² = 2237500888200000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12372 + ... + 47628.

Almost surely, 2^1057710000 is an apocalyptic number.

1057710000 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 1057710000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707262876).

1057710000 is an abundant number, since it is smaller than the sum of its proper divisors (2356815752).

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

1057710000 is an equidigital number, since it uses as much as digits as its factorization.

1057710000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35288 (or 35267 counting only the distinct ones).

The product of its (nonzero) digits is 245, while the sum is 21.

The square root of 1057710000 is about 32522.4537819642. The cubic root of 1057710000 is about 1018.8780435494.

Adding to 1057710000 its reverse (177501), we get a palindrome (1057887501).

The spelling of 1057710000 in words is "one billion, fifty-seven million, seven hundred ten thousand".