65435040000 has 1440 divisors, whose sum is σ = 282747991680. Its totient is φ = 14929920000.

The previous prime is 65435039959. The next prime is 65435040037. The reversal of 65435040000 is 4053456.

65435040000 is a `hidden beast` number, since 654 + 3 + 5 + 0 + 4 + 0 + 0 + 0 + 0 = 666.

65435040000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3849119992 + ... + 3849120008.

It is an arithmetic number, because the mean of its divisors is an integer number (196352772).

Almost surely, 2^65435040000 is an apocalyptic number.

65435040000 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 65435040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141373995840).

65435040000 is an abundant number, since it is smaller than the sum of its proper divisors (217312951680).

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

65435040000 is an frugal number, since it uses more digits than its factorization.

65435040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 65435040000 its reverse (4053456), we get a palindrome (65439093456).

The spelling of 65435040000 in words is "sixty-five billion, four hundred thirty-five million, forty thousand".