13468260000 has 480 divisors, whose sum is σ = 49199851008. Its totient is φ = 3202560000.

The previous prime is 13468259971. The next prime is 13468260037. The reversal of 13468260000 is 6286431.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13468260000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24179722 + ... + 24180278.

Almost surely, 2^13468260000 is an apocalyptic number.

13468260000 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 13468260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24599925504).

13468260000 is an abundant number, since it is smaller than the sum of its proper divisors (35731591008).

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

13468260000 is a wasteful number, since it uses less digits than its factorization.

13468260000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 13468260000 in words is "thirteen billion, four hundred sixty-eight million, two hundred sixty thousand".