13046967019680 has 960 divisors, whose sum is σ = 48200951812608. Its totient is φ = 2941279672320.

The previous prime is 13046967019643. The next prime is 13046967019693. The reversal of 13046967019680 is 8691076964031.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 46102356819 + ... + 46102357101.

Almost surely, 2^{13046967019680} is an apocalyptic number.

13046967019680 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 13046967019680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24100475906304).

13046967019680 is an abundant number, since it is smaller than the sum of its proper divisors (35153984792928).

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

13046967019680 is an equidigital number, since it uses as much as digits as its factorization.

13046967019680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 60.

The spelling of 13046967019680 in words is "thirteen trillion, forty-six billion, nine hundred sixty-seven million, nineteen thousand, six hundred eighty".