13426587072 has 168 divisors, whose sum is σ = 39849064320. Its totient is φ = 4317788160.

The previous prime is 13426587037. The next prime is 13426587077. The reversal of 13426587072 is 27078562431.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13426587077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6945018 + ... + 6946950.

Almost surely, 2^13426587072 is an apocalyptic number.

13426587072 is a gapful number since it is divisible by the number (12) 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 13426587072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19924532160).

13426587072 is an abundant number, since it is smaller than the sum of its proper divisors (26422477248).

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

13426587072 is a wasteful number, since it uses less digits than its factorization.

13426587072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 13426587072 in words is "thirteen billion, four hundred twenty-six million, five hundred eighty-seven thousand, seventy-two".