13790264544 has 288 divisors, whose sum is σ = 47704640256. Its totient is φ = 3688796160.

The previous prime is 13790264531. The next prime is 13790264617. The reversal of 13790264544 is 44546209731.

13790264544 is a `hidden beast` number, since 13 + 7 + 90 + 2 + 6 + 4 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 13790264544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7230439 + ... + 7232345.

It is an arithmetic number, because the mean of its divisors is an integer number (165641112).

Almost surely, 2^13790264544 is an apocalyptic number.

13790264544 is a gapful number since it is divisible by the number (14) 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 13790264544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23852320128).

13790264544 is an abundant number, since it is smaller than the sum of its proper divisors (33914375712).

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

13790264544 is a wasteful number, since it uses less digits than its factorization.

13790264544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 13790264544 in words is "thirteen billion, seven hundred ninety million, two hundred sixty-four thousand, five hundred forty-four".