10675185552 has 60 divisors (see below), whose sum is σ = 29983659420. Its totient is φ = 3545535744.

The previous prime is 10675185491. The next prime is 10675185571. The reversal of 10675185552 is 25558157601.

10675185552 is a `hidden beast` number, since 10 + 6 + 7 + 5 + 1 + 85 + 552 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5017738896 + 5657446656 = 70836^2 + 75216^2 .

It is a super-2 number, since 2×10675185552² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10675185498 and 10675185507.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93927 + ... + 173702.

It is an arithmetic number, because the mean of its divisors is an integer number (499727657).

Almost surely, 2^10675185552 is an apocalyptic number.

10675185552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10675185552 is an abundant number, since it is smaller than the sum of its proper divisors (19308473868).

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

10675185552 is a wasteful number, since it uses less digits than its factorization.

10675185552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267920 (or 267911 counting only the distinct ones).

The product of its (nonzero) digits is 420000, while the sum is 45.

The spelling of 10675185552 in words is "ten billion, six hundred seventy-five million, one hundred eighty-five thousand, five hundred fifty-two".