1057006051660 has 96 divisors (see below), whose sum is σ = 2513429755200. Its totient is φ = 370643696640.

The previous prime is 1057006051649. The next prime is 1057006051697. The reversal of 1057006051660 is 661506007501.

It is a super-2 number, since 2×1057006051660² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 689130 + ... + 1609009.

It is an arithmetic number, because the mean of its divisors is an integer number (26181559950).

Almost surely, 2^{1057006051660} is an apocalyptic number.

1057006051660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1057006051660 is an abundant number, since it is smaller than the sum of its proper divisors (1456423703540).

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

1057006051660 is a wasteful number, since it uses less digits than its factorization.

1057006051660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298251 (or 2298249 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 37.

The spelling of 1057006051660 in words is "one trillion, fifty-seven billion, six million, fifty-one thousand, six hundred sixty".