65955438895104 has 3584 divisors, whose sum is σ = 256826723328000. Its totient is φ = 16443349401600.

The previous prime is 65955438895091. The next prime is 65955438895111. The reversal of 65955438895104 is 40159883455956.

65955438895104 is a `hidden beast` number, since 6 + 5 + 9 + 5 + 5 + 438 + 89 + 5 + 104 = 666.

It is a super-3 number, since 3×65955438895104³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 255 ways as a sum of consecutive naturals, for example, 741072347092 + ... + 741072347180.

It is an arithmetic number, because the mean of its divisors is an integer number (71659242000).

Almost surely, 2^{65955438895104} is an apocalyptic number.

65955438895104 is a gapful number since it is divisible by the number (64) 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 65955438895104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128413361664000).

65955438895104 is an abundant number, since it is smaller than the sum of its proper divisors (190871284432896).

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

65955438895104 is a wasteful number, since it uses less digits than its factorization.

65955438895104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 933120000, while the sum is 72.

The spelling of 65955438895104 in words is "sixty-five trillion, nine hundred fifty-five billion, four hundred thirty-eight million, eight hundred ninety-five thousand, one hundred four".