13460165400 has 192 divisors, whose sum is σ = 45652078080. Its totient is φ = 3253593600.

The previous prime is 13460165399. The next prime is 13460165401. The reversal of 13460165400 is 456106431.

It is an interprime number because it is at equal distance from previous prime (13460165399) and next prime (13460165401).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13460165401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2419422 + ... + 2424978.

It is an arithmetic number, because the mean of its divisors is an integer number (237771240).

Almost surely, 2^13460165400 is an apocalyptic number.

13460165400 is a gapful number since it is divisible by the number (10) 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 13460165400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22826039040).

13460165400 is an abundant number, since it is smaller than the sum of its proper divisors (32191912680).

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

13460165400 is a wasteful number, since it uses less digits than its factorization.

13460165400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5954 (or 5945 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 13460165400 in words is "thirteen billion, four hundred sixty million, one hundred sixty-five thousand, four hundred".