65835245952 has 288 divisors, whose sum is σ = 221556539880. Its totient is φ = 18709512192.

The previous prime is 65835245939. The next prime is 65835245963. The reversal of 65835245952 is 25954253856.

65835245952 is a `hidden beast` number, since 6 + 583 + 5 + 2 + 4 + 5 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10891443 + ... + 10897485.

Almost surely, 2^65835245952 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 65835245952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110778269940).

65835245952 is an abundant number, since it is smaller than the sum of its proper divisors (155721293928).

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

65835245952 is a wasteful number, since it uses less digits than its factorization.

65835245952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6270 (or 6248 counting only the distinct ones).

The product of its digits is 12960000, while the sum is 54.

The spelling of 65835245952 in words is "sixty-five billion, eight hundred thirty-five million, two hundred forty-five thousand, nine hundred fifty-two".