1057530909960 has 640 divisors, whose sum is σ = 4128135897600. Its totient is φ = 237833625600.

The previous prime is 1057530909943. The next prime is 1057530909983. The reversal of 1057530909960 is 699090357501.

1057530909960 is a `hidden beast` number, since 1 + 0 + 575 + 3 + 0 + 9 + 0 + 9 + 9 + 60 = 666.

It is a super-2 number, since 2×1057530909960² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1057530909897 and 1057530909906.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 373288704 + ... + 373291536.

It is an arithmetic number, because the mean of its divisors is an integer number (6450212340).

Almost surely, 2^{1057530909960} is an apocalyptic number.

1057530909960 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 1057530909960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064067948800).

1057530909960 is an abundant number, since it is smaller than the sum of its proper divisors (3070604987640).

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

1057530909960 is a wasteful number, since it uses less digits than its factorization.

1057530909960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3123 (or 3110 counting only the distinct ones).

The product of its (nonzero) digits is 2296350, while the sum is 54.

The spelling of 1057530909960 in words is "one trillion, fifty-seven billion, five hundred thirty million, nine hundred nine thousand, nine hundred sixty".