65890056960 has 1728 divisors, whose sum is σ = 304169765760. Its totient is φ = 13377208320.

The previous prime is 65890056959. The next prime is 65890056971. The reversal of 65890056960 is 6965009856.

65890056960 is a `hidden beast` number, since 6 + 589 + 0 + 0 + 56 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 65890056897 and 65890056906.

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, 902603484 + ... + 902603556.

It is an arithmetic number, because the mean of its divisors is an integer number (176024170).

Almost surely, 2^65890056960 is an apocalyptic number.

65890056960 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 65890056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152084882880).

65890056960 is an abundant number, since it is smaller than the sum of its proper divisors (238279708800).

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

65890056960 is a wasteful number, since it uses less digits than its factorization.

65890056960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 65890056960 in words is "sixty-five billion, eight hundred ninety million, fifty-six thousand, nine hundred sixty".