81775627416 has 192 divisors, whose sum is σ = 257606369280. Its totient is φ = 22950915840.

The previous prime is 81775627379. The next prime is 81775627457. The reversal of 81775627416 is 61472657718.

81775627416 is a `hidden beast` number, since 8 + 1 + 7 + 7 + 5 + 627 + 4 + 1 + 6 = 666.

It is a congruent number.

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, 33417505 + ... + 33419951.

It is an arithmetic number, because the mean of its divisors is an integer number (1341699840).

Almost surely, 2^81775627416 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 81775627416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128803184640).

81775627416 is an abundant number, since it is smaller than the sum of its proper divisors (175830741864).

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

81775627416 is a wasteful number, since it uses less digits than its factorization.

81775627416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3614 (or 3607 counting only the distinct ones).

The product of its digits is 3951360, while the sum is 54.

The spelling of 81775627416 in words is "eighty-one billion, seven hundred seventy-five million, six hundred twenty-seven thousand, four hundred sixteen".