65105542656 has 540 divisors, whose sum is σ = 240354210096. Its totient is φ = 16903434240.

The previous prime is 65105542631. The next prime is 65105542729. The reversal of 65105542656 is 65624550156.

65105542656 is a `hidden beast` number, since 6 + 51 + 0 + 5 + 542 + 6 + 56 = 666.

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 53 ways as a sum of consecutive naturals, for example, 27319641 + ... + 27322023.

Almost surely, 2^65105542656 is an apocalyptic number.

65105542656 is a gapful number since it is divisible by the number (66) 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 65105542656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120177105048).

65105542656 is an abundant number, since it is smaller than the sum of its proper divisors (175248667440).

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

65105542656 is a wasteful number, since it uses less digits than its factorization.

65105542656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 65105542656 in words is "sixty-five billion, one hundred five million, five hundred forty-two thousand, six hundred fifty-six".