10938519135 has 24 divisors (see below), whose sum is σ = 19613898720. Its totient is φ = 5632708032.

The previous prime is 10938519133. The next prime is 10938519149. The reversal of 10938519135 is 53191583901.

10938519135 is a `hidden beast` number, since 10 + 93 + 8 + 519 + 1 + 35 = 666.

It is not a de Polignac number, because 10938519135 - 2¹ = 10938519133 is a prime.

It is a super-2 number, since 2×10938519135² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10938519133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4189699 + ... + 4192308.

It is an arithmetic number, because the mean of its divisors is an integer number (817245780).

Almost surely, 2^10938519135 is an apocalyptic number.

10938519135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10938519135 is a deficient number, since it is larger than the sum of its proper divisors (8675379585).

10938519135 is a wasteful number, since it uses less digits than its factorization.

10938519135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8382047 (or 8382044 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 45.

The spelling of 10938519135 in words is "ten billion, nine hundred thirty-eight million, five hundred nineteen thousand, one hundred thirty-five".