65460312000 has 672 divisors, whose sum is σ = 245539467264. Its totient is φ = 17262720000.

The previous prime is 65460311999. The next prime is 65460312011. The reversal of 65460312000 is 21306456.

65460312000 is a `hidden beast` number, since 6 + 54 + 603 + 1 + 2 + 0 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 293543889 + ... + 293544111.

It is an arithmetic number, because the mean of its divisors is an integer number (365386112).

Almost surely, 2^65460312000 is an apocalyptic number.

65460312000 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 65460312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122769733632).

65460312000 is an abundant number, since it is smaller than the sum of its proper divisors (180079155264).

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

65460312000 is a wasteful number, since it uses less digits than its factorization.

65460312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 65460312000 its reverse (21306456), we get a palindrome (65481618456).

The spelling of 65460312000 in words is "sixty-five billion, four hundred sixty million, three hundred twelve thousand".