65009670933888 has 384 divisors, whose sum is σ = 198571563590400. Its totient is φ = 21159625697280.

The previous prime is 65009670933887. The next prime is 65009670933899. The reversal of 65009670933888 is 88833907690056.

65009670933888 is a `hidden beast` number, since 6 + 5 + 0 + 0 + 96 + 70 + 93 + 388 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65009670933887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7036435573 + ... + 7036444811.

It is an arithmetic number, because the mean of its divisors is an integer number (517113446850).

Almost surely, 2^{65009670933888} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65009670933888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99285781795200).

65009670933888 is an abundant number, since it is smaller than the sum of its proper divisors (133561892656512).

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

65009670933888 is an equidigital number, since it uses as much as digits as its factorization.

65009670933888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14572 (or 14548 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 65009670933888 in words is "sixty-five trillion, nine billion, six hundred seventy million, nine hundred thirty-three thousand, eight hundred eighty-eight".