13807445760 has 432 divisors, whose sum is σ = 50298343200. Its totient is φ = 3586277376.

The previous prime is 13807445759. The next prime is 13807445761. The reversal of 13807445760 is 6754470831.

13807445760 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 74 + 4 + 576 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13807445759) and next prime (13807445761).

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13807445761) 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, 155139796 + ... + 155139884.

It is an arithmetic number, because the mean of its divisors is an integer number (116431350).

Almost surely, 2^13807445760 is an apocalyptic number.

13807445760 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 13807445760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25149171600).

13807445760 is an abundant number, since it is smaller than the sum of its proper divisors (36490897440).

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

13807445760 is an frugal number, since it uses more digits than its factorization.

13807445760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 166 counting only the distinct ones).

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

The spelling of 13807445760 in words is "thirteen billion, eight hundred seven million, four hundred forty-five thousand, seven hundred sixty".