10675620288 has 448 divisors, whose sum is σ = 36166348800. Its totient is φ = 3065610240.

The previous prime is 10675620287. The next prime is 10675620299. The reversal of 10675620288 is 88202657601.

10675620288 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 562 + 0 + 2 + 88 = 666.

It is a super-2 number, since 2×10675620288² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10675620283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17302156 + ... + 17302772.

Almost surely, 2^10675620288 is an apocalyptic number.

10675620288 is a gapful number since it is divisible by the number (18) 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 10675620288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18083174400).

10675620288 is an abundant number, since it is smaller than the sum of its proper divisors (25490728512).

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

10675620288 is a wasteful number, since it uses less digits than its factorization.

10675620288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 10675620288 in words is "ten billion, six hundred seventy-five million, six hundred twenty thousand, two hundred eighty-eight".