65755791360 has 960 divisors, whose sum is σ = 277822218240. Its totient is φ = 14438891520.

The previous prime is 65755791301. The next prime is 65755791457. The reversal of 65755791360 is 6319755756.

65755791360 is a `hidden beast` number, since 6 + 5 + 7 + 5 + 579 + 1 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 = 65755791297 and 65755791306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 479969212 + ... + 479969348.

It is an arithmetic number, because the mean of its divisors is an integer number (289398144).

Almost surely, 2^65755791360 is an apocalyptic number.

65755791360 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 65755791360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138911109120).

65755791360 is an abundant number, since it is smaller than the sum of its proper divisors (212066426880).

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

65755791360 is a wasteful number, since it uses less digits than its factorization.

65755791360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 5953500, while the sum is 54.

The spelling of 65755791360 in words is "sixty-five billion, seven hundred fifty-five million, seven hundred ninety-one thousand, three hundred sixty".