10135985472 has 84 divisors (see below), whose sum is σ = 29070808000. Its totient is φ = 3376588032.

The previous prime is 10135985399. The next prime is 10135985473. The reversal of 10135985472 is 27458953101.

10135985472 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 598 + 54 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10135985473) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1147023 + ... + 1155825.

Almost surely, 2^10135985472 is an apocalyptic number.

10135985472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10135985472 is an abundant number, since it is smaller than the sum of its proper divisors (18934822528).

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

10135985472 is a wasteful number, since it uses less digits than its factorization.

10135985472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10820 (or 10807 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 10135985472 in words is "ten billion, one hundred thirty-five million, nine hundred eighty-five thousand, four hundred seventy-two".