13876462080 has 320 divisors, whose sum is σ = 53085352320. Its totient is φ = 3415523328.

The previous prime is 13876462073. The next prime is 13876462133. The reversal of 13876462080 is 8026467831.

13876462080 is a `hidden beast` number, since 1 + 387 + 64 + 6 + 208 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 890839 + ... + 906281.

It is an arithmetic number, because the mean of its divisors is an integer number (165891726).

Almost surely, 2^13876462080 is an apocalyptic number.

13876462080 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 13876462080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26542676160).

13876462080 is an abundant number, since it is smaller than the sum of its proper divisors (39208890240).

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

13876462080 is a wasteful number, since it uses less digits than its factorization.

13876462080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15488 (or 15466 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 13876462080 in words is "thirteen billion, eight hundred seventy-six million, four hundred sixty-two thousand, eighty".