13876496160 has 384 divisors, whose sum is σ = 48816359424. Its totient is φ = 3295395840.

The previous prime is 13876496131. The next prime is 13876496167. The reversal of 13876496160 is 6169467831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (13876496167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20081415 + ... + 20082105.

It is an arithmetic number, because the mean of its divisors is an integer number (127125936).

Almost surely, 2^13876496160 is an apocalyptic number.

13876496160 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 13876496160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24408179712).

13876496160 is an abundant number, since it is smaller than the sum of its proper divisors (34939863264).

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

13876496160 is a wasteful number, since it uses less digits than its factorization.

13876496160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 13876496160 in words is "thirteen billion, eight hundred seventy-six million, four hundred ninety-six thousand, one hundred sixty".