10575011522208 has 192 divisors, whose sum is σ = 32178848486400. Its totient is φ = 2978373844992.

The previous prime is 10575011522197. The next prime is 10575011522281. The reversal of 10575011522208 is 80222511057501.

It is a happy number.

10575011522208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10575011522208² (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 31 ways as a sum of consecutive naturals, for example, 24832291 + ... + 25254557.

It is an arithmetic number, because the mean of its divisors is an integer number (167598169200).

Almost surely, 2^{10575011522208} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10575011522208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16089424243200).

10575011522208 is an abundant number, since it is smaller than the sum of its proper divisors (21603836964192).

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

10575011522208 is a wasteful number, since it uses less digits than its factorization.

10575011522208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422819 (or 422811 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 39.

Adding to 10575011522208 its reverse (80222511057501), we get a palindrome (90797522579709).

The spelling of 10575011522208 in words is "ten trillion, five hundred seventy-five billion, eleven million, five hundred twenty-two thousand, two hundred eight".