1057008088300 has 18 divisors (see below), whose sum is σ = 2293707551828. Its totient is φ = 422803235280.

The previous prime is 1057008088289. The next prime is 1057008088319. The reversal of 1057008088300 is 38808007501.

It is a super-2 number, since 2×1057008088300² (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 (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5285040342 + ... + 5285040541.

Almost surely, 2^{1057008088300} is an apocalyptic number.

1057008088300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1057008088300 is an abundant number, since it is smaller than the sum of its proper divisors (1236699463528).

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

1057008088300 is a wasteful number, since it uses less digits than its factorization.

1057008088300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10570080897 (or 10570080890 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The spelling of 1057008088300 in words is "one trillion, fifty-seven billion, eight million, eighty-eight thousand, three hundred".