65128935997440 has 1200 divisors, whose sum is σ = 270241245120000. Its totient is φ = 14697347678208.

The previous prime is 65128935997427. The next prime is 65128935997457. The reversal of 65128935997440 is 4479953982156.

65128935997440 is a `hidden beast` number, since 6 + 5 + 1 + 2 + 8 + 93 + 5 + 9 + 97 + 440 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3669433686 + ... + 3669451434.

It is an arithmetic number, because the mean of its divisors is an integer number (225201037600).

It is a 1-persistent number, because it is pandigital, but 2⋅65128935997440 = 130257871994880 is not.

Almost surely, 2^{65128935997440} is an apocalyptic number.

65128935997440 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 65128935997440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135120622560000).

65128935997440 is an abundant number, since it is smaller than the sum of its proper divisors (205112309122560).

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

65128935997440 is an equidigital number, since it uses as much as digits as its factorization.

65128935997440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17880 (or 17845 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 65128935997440 in words is "sixty-five trillion, one hundred twenty-eight billion, nine hundred thirty-five million, nine hundred ninety-seven thousand, four hundred forty".