65219002966656 has 1536 divisors, whose sum is σ = 248111106048000. Its totient is φ = 16283848089600.

The previous prime is 65219002966631. The next prime is 65219002966679. The reversal of 65219002966656 is 65666920091256.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 65219002966593 and 65219002966602.

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, 21154394491 + ... + 21154397573.

It is an arithmetic number, because the mean of its divisors is an integer number (161530668000).

Almost surely, 2^{65219002966656} is an apocalyptic number.

65219002966656 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 65219002966656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124055553024000).

65219002966656 is an abundant number, since it is smaller than the sum of its proper divisors (182892103081344).

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

65219002966656 is a wasteful number, since it uses less digits than its factorization.

65219002966656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3323 (or 3294 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 63.

The spelling of 65219002966656 in words is "sixty-five trillion, two hundred nineteen billion, two million, nine hundred sixty-six thousand, six hundred fifty-six".