1057827680 has 288 divisors, whose sum is σ = 3192600096. Its totient is φ = 328237056.

The previous prime is 1057827629. The next prime is 1057827709. The reversal of 1057827680 is 867287501.

1057827680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1057827680² = 2237998801148364800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9886187 + ... + 9886293.

It is an arithmetic number, because the mean of its divisors is an integer number (11085417).

Almost surely, 2^1057827680 is an apocalyptic number.

1057827680 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 1057827680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596300048).

1057827680 is an abundant number, since it is smaller than the sum of its proper divisors (2134772416).

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

1057827680 is a wasteful number, since it uses less digits than its factorization.

1057827680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 44.

The square root of 1057827680 is about 32524.2629432244. The cubic root of 1057827680 is about 1018.9158286769.

The spelling of 1057827680 in words is "one billion, fifty-seven million, eight hundred twenty-seven thousand, six hundred eighty".