13149828679680 has 2304 divisors, whose sum is σ = 59215854297600. Its totient is φ = 2709415526400.

The previous prime is 13149828679639. The next prime is 13149828679697. The reversal of 13149828679680 is 8697682894131.

13149828679680 is a `hidden beast` number, since 1 + 3 + 1 + 498 + 2 + 8 + 6 + 79 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 13149828679599 and 13149828679608.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 54563604360 + ... + 54563604600.

It is an arithmetic number, because the mean of its divisors is an integer number (25701325650).

Almost surely, 2^{13149828679680} is an apocalyptic number.

13149828679680 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 13149828679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29607927148800).

13149828679680 is an abundant number, since it is smaller than the sum of its proper divisors (46066025617920).

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

13149828679680 is a wasteful number, since it uses less digits than its factorization.

13149828679680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 13149828679680 in words is "thirteen trillion, one hundred forty-nine billion, eight hundred twenty-eight million, six hundred seventy-nine thousand, six hundred eighty".