65615878656000 has 2080 divisors, whose sum is σ = 260759686606848. Its totient is φ = 16425300787200.

The previous prime is 65615878655989. The next prime is 65615878656023. The reversal of 65615878656000 is 65687851656.

It is a happy number.

65615878656000 is a `hidden beast` number, since 6 + 5 + 6 + 15 + 8 + 7 + 8 + 6 + 5 + 600 + 0 = 666.

It is a super-3 number, since 3×65615878656000³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 171320831809 + ... + 171320832191.

Almost surely, 2^{65615878656000} is an apocalyptic number.

65615878656000 is a gapful number since it is divisible by the number (60) 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 65615878656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130379843303424).

65615878656000 is an abundant number, since it is smaller than the sum of its proper divisors (195143807950848).

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

65615878656000 is an frugal number, since it uses more digits than its factorization.

65615878656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 65615878656000 in words is "sixty-five trillion, six hundred fifteen billion, eight hundred seventy-eight million, six hundred fifty-six thousand".