13423829760 has 288 divisors, whose sum is σ = 51967964160. Its totient is φ = 3254169600.

The previous prime is 13423829759. The next prime is 13423829789. The reversal of 13423829760 is 6792832431.

13423829760 is a `hidden beast` number, since 1 + 3 + 423 + 82 + 97 + 60 = 666.

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

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362505 + ... + 397815.

It is an arithmetic number, because the mean of its divisors is an integer number (180444320).

Almost surely, 2^13423829760 is an apocalyptic number.

13423829760 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 13423829760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25983982080).

13423829760 is an abundant number, since it is smaller than the sum of its proper divisors (38544134400).

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

13423829760 is a wasteful number, since it uses less digits than its factorization.

13423829760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35352 (or 35332 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 13423829760 in words is "thirteen billion, four hundred twenty-three million, eight hundred twenty-nine thousand, seven hundred sixty".