10575283555080 has 288 divisors, whose sum is σ = 38407569946200. Its totient is φ = 2514494140416.

The previous prime is 10575283555051. The next prime is 10575283555093. The reversal of 10575283555080 is 8055538257501.

10575283555080 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 5 + 2 + 8 + 3 + 5 + 550 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9131263152804 + 1444020402276 = 3021798^2 + 1201674^2 .

It is a super-2 number, since 2×10575283555080² (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 71 ways as a sum of consecutive naturals, for example, 184015 + ... + 4602654.

Almost surely, 2^{10575283555080} is an apocalyptic number.

10575283555080 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 10575283555080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19203784973100).

10575283555080 is an abundant number, since it is smaller than the sum of its proper divisors (27832286391120).

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

10575283555080 is a wasteful number, since it uses less digits than its factorization.

10575283555080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4786741 (or 4786715 counting only the distinct ones).

The product of its (nonzero) digits is 8400000, while the sum is 54.

The spelling of 10575283555080 in words is "ten trillion, five hundred seventy-five billion, two hundred eighty-three million, five hundred fifty-five thousand, eighty".