10575017576816 has 80 divisors (see below), whose sum is σ = 26889313378560. Its totient is φ = 3903287408640.

The previous prime is 10575017576707. The next prime is 10575017576839. The reversal of 10575017576816 is 61867571057501.

It is a super-2 number, since 2×10575017576816² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225861281 + ... + 225908096.

It is an arithmetic number, because the mean of its divisors is an integer number (336116417232).

Almost surely, 2^{10575017576816} is an apocalyptic number.

10575017576816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10575017576816 is an abundant number, since it is smaller than the sum of its proper divisors (16314295801744).

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

10575017576816 is a wasteful number, since it uses less digits than its factorization.

10575017576816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451769422 (or 451769416 counting only the distinct ones).

The product of its (nonzero) digits is 12348000, while the sum is 59.

The spelling of 10575017576816 in words is "ten trillion, five hundred seventy-five billion, seventeen million, five hundred seventy-six thousand, eight hundred sixteen".