18880713895680 has 2880 divisors, whose sum is σ = 87451360432128. Its totient is φ = 3780335370240.

The previous prime is 18880713895651. The next prime is 18880713895697. The reversal of 18880713895680 is 8659831708881.

18880713895680 is a `hidden beast` number, since 188 + 8 + 0 + 7 + 1 + 389 + 5 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 = 18880713895599 and 18880713895608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 36239373820 + ... + 36239374340.

Almost surely, 2^{18880713895680} is an apocalyptic number.

18880713895680 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 18880713895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43725680216064).

18880713895680 is an abundant number, since it is smaller than the sum of its proper divisors (68570646536448).

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

18880713895680 is a wasteful number, since it uses less digits than its factorization.

18880713895680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 72.

The spelling of 18880713895680 in words is "eighteen trillion, eight hundred eighty billion, seven hundred thirteen million, eight hundred ninety-five thousand, six hundred eighty".