65955850813440 has 408 divisors, whose sum is σ = 261308887558368. Its totient is φ = 15075618324480.

The previous prime is 65955850813429. The next prime is 65955850813483. The reversal of 65955850813440 is 4431805855956.

65955850813440 is a `hidden beast` number, since 6 + 5 + 9 + 5 + 58 + 508 + 1 + 34 + 40 = 666.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 19046370 + ... + 22241310.

Almost surely, 2^{65955850813440} is an apocalyptic number.

65955850813440 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 65955850813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130654443779184).

65955850813440 is an abundant number, since it is smaller than the sum of its proper divisors (195353036744928).

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

65955850813440 is an equidigital number, since it uses as much as digits as its factorization.

65955850813440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3194991 (or 3194958 counting only the distinct ones).

The product of its (nonzero) digits is 103680000, while the sum is 63.

The spelling of 65955850813440 in words is "sixty-five trillion, nine hundred fifty-five billion, eight hundred fifty million, eight hundred thirteen thousand, four hundred forty".