65573544960 has 528 divisors, whose sum is σ = 283290913152. Its totient is φ = 13624934400.

The previous prime is 65573544901. The next prime is 65573544973. The reversal of 65573544960 is 6944537556.

65573544960 is a `hidden beast` number, since 6 + 5 + 5 + 7 + 3 + 544 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×65573544960² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 65573544897 and 65573544906.

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, 3538920 + ... + 3557400.

Almost surely, 2^65573544960 is an apocalyptic number.

65573544960 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 65573544960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141645456576).

65573544960 is an abundant number, since it is smaller than the sum of its proper divisors (217717368192).

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

65573544960 is a wasteful number, since it uses less digits than its factorization.

65573544960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18530 (or 18509 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 65573544960 in words is "sixty-five billion, five hundred seventy-three million, five hundred forty-four thousand, nine hundred sixty".