13405653534 has 128 divisors (see below), whose sum is σ = 34083302400. Its totient is φ = 3492381312.

The previous prime is 13405653517. The next prime is 13405653551. The reversal of 13405653534 is 43535650431.

It is an interprime number because it is at equal distance from previous prime (13405653517) and next prime (13405653551).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 13405653492 and 13405653501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2217564 + ... + 2223600.

It is an arithmetic number, because the mean of its divisors is an integer number (266275800).

Almost surely, 2^13405653534 is an apocalyptic number.

13405653534 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13405653534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17041651200).

13405653534 is an abundant number, since it is smaller than the sum of its proper divisors (20677648866).

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

13405653534 is a wasteful number, since it uses less digits than its factorization.

13405653534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6159 (or 6145 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 39.

The spelling of 13405653534 in words is "thirteen billion, four hundred five million, six hundred fifty-three thousand, five hundred thirty-four".