1057985280 has 576 divisors, whose sum is σ = 4309079040. Its totient is φ = 245329920.

The previous prime is 1057985261. The next prime is 1057985309. The reversal of 1057985280 is 825897501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1057985280² = 2238665705393356800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45999349 + ... + 45999371.

It is an arithmetic number, because the mean of its divisors is an integer number (7481040).

Almost surely, 2^1057985280 is an apocalyptic number.

1057985280 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 1057985280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154539520).

1057985280 is an abundant number, since it is smaller than the sum of its proper divisors (3251093760).

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

1057985280 is an equidigital number, since it uses as much as digits as its factorization.

1057985280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The square root of 1057985280 is about 32526.6856596242. The cubic root of 1057985280 is about 1018.9664270757.

It can be divided in two parts, 10579 and 85280, that added together give a palindrome (95859).

The spelling of 1057985280 in words is "one billion, fifty-seven million, nine hundred eighty-five thousand, two hundred eighty".