10557750001000 has 32 divisors (see below), whose sum is σ = 24705135004680. Its totient is φ = 4223100000000.

The previous prime is 10557750000983. The next prime is 10557750001061. The reversal of 10557750001000 is 10005775501.

It can be written as a sum of positive squares in 4 ways, for example, as 595406683876 + 9962343317124 = 771626^2 + 3156318^2 .

It is a super-2 number, since 2×10557750001000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5278874001 + ... + 5278876000.

Almost surely, 2^{10557750001000} is an apocalyptic number.

10557750001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10557750001000 is an abundant number, since it is smaller than the sum of its proper divisors (14147385003680).

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

10557750001000 is a wasteful number, since it uses less digits than its factorization.

10557750001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10557750022 (or 10557750008 counting only the distinct ones).

The product of its (nonzero) digits is 6125, while the sum is 31.

Adding to 10557750001000 its reverse (10005775501), we get a palindrome (10567755776501).

The spelling of 10557750001000 in words is "ten trillion, five hundred fifty-seven billion, seven hundred fifty million, one thousand".