13123049760 has 288 divisors, whose sum is σ = 46605162240. Its totient is φ = 3491921664.

The previous prime is 13123049759. The next prime is 13123049773. The reversal of 13123049760 is 6794032131.

13123049760 is a `hidden beast` number, since 131 + 2 + 30 + 497 + 6 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 28343289 + ... + 28343751.

It is an arithmetic number, because the mean of its divisors is an integer number (161823480).

Almost surely, 2^13123049760 is an apocalyptic number.

13123049760 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 13123049760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23302581120).

13123049760 is an abundant number, since it is smaller than the sum of its proper divisors (33482112480).

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

13123049760 is an frugal number, since it uses more digits than its factorization.

13123049760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 13123049760 in words is "thirteen billion, one hundred twenty-three million, forty-nine thousand, seven hundred sixty".