13470126080 has 78 divisors (see below), whose sum is σ = 32364262818. Its totient is φ = 5381406720.

The previous prime is 13470126071. The next prime is 13470126097. The reversal of 13470126080 is 8062107431.

It can be written as a sum of positive squares in only one way, i.e., 10776100864 + 2694025216 = 103808^2 + 51904^2 .

It is a super-2 number, since 2×13470126080² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16608875 + ... + 16609685.

Almost surely, 2^13470126080 is an apocalyptic number.

13470126080 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 13470126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16182131409).

13470126080 is an abundant number, since it is smaller than the sum of its proper divisors (18894136738).

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

13470126080 is an frugal number, since it uses more digits than its factorization.

13470126080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The spelling of 13470126080 in words is "thirteen billion, four hundred seventy million, one hundred twenty-six thousand, eighty".