81886653628416 has 2880 divisors, whose sum is σ = 319540244115456. Its totient is φ = 19619905536000.

The previous prime is 81886653628361. The next prime is 81886653628463. The reversal of 81886653628416 is 61482635668818.

81886653628416 is a `hidden beast` number, since 8 + 1 + 8 + 8 + 6 + 6 + 536 + 2 + 84 + 1 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 810758946766 + ... + 810758946866.

Almost surely, 2^{81886653628416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81886653628416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159770122057728).

81886653628416 is an abundant number, since it is smaller than the sum of its proper divisors (237653590487040).

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

81886653628416 is a wasteful number, since it uses less digits than its factorization.

81886653628416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 257 counting only the distinct ones).

The product of its digits is 637009920, while the sum is 72.

The spelling of 81886653628416 in words is "eighty-one trillion, eight hundred eighty-six billion, six hundred fifty-three million, six hundred twenty-eight thousand, four hundred sixteen".