18880684486272 has 384 divisors, whose sum is σ = 62292822059520. Its totient is φ = 5377126809600.

The previous prime is 18880684486241. The next prime is 18880684486283. The reversal of 18880684486272 is 27268448608881.

18880684486272 is a `hidden beast` number, since 1 + 8 + 8 + 80 + 68 + 4 + 486 + 2 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 18880684486272.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3827421918 + ... + 3827426850.

It is an arithmetic number, because the mean of its divisors is an integer number (162220890780).

Almost surely, 2^{18880684486272} is an apocalyptic number.

18880684486272 is a gapful number since it is divisible by the number (12) 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 18880684486272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31146411029760).

18880684486272 is an abundant number, since it is smaller than the sum of its proper divisors (43412137573248).

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

18880684486272 is a wasteful number, since it uses less digits than its factorization.

18880684486272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6392 (or 6377 counting only the distinct ones).

The product of its (nonzero) digits is 528482304, while the sum is 72.

The spelling of 18880684486272 in words is "eighteen trillion, eight hundred eighty billion, six hundred eighty-four million, four hundred eighty-six thousand, two hundred seventy-two".