10535358672 has 60 divisors (see below), whose sum is σ = 29759970240. Its totient is φ = 3478960704.

The previous prime is 10535358623. The next prime is 10535358683. The reversal of 10535358672 is 27685353501.

10535358672 is a `hidden beast` number, since 1 + 0 + 53 + 535 + 8 + 67 + 2 = 666.

10535358672 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 2×10535358672² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 326472 + ... + 357287.

It is an arithmetic number, because the mean of its divisors is an integer number (495999504).

Almost surely, 2^10535358672 is an apocalyptic number.

10535358672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10535358672 is an abundant number, since it is smaller than the sum of its proper divisors (19224611568).

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

10535358672 is a wasteful number, since it uses less digits than its factorization.

10535358672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683880 (or 683871 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

It can be divided in two parts, 105353 and 58672, that added together give a square (164025 = 405²).

The spelling of 10535358672 in words is "ten billion, five hundred thirty-five million, three hundred fifty-eight thousand, six hundred seventy-two".