65005799040 has 768 divisors, whose sum is σ = 282024288000. Its totient is φ = 13710090240.

The previous prime is 65005799011. The next prime is 65005799051. The reversal of 65005799040 is 4099750056.

It is a happy number.

65005799040 is a `hidden beast` number, since 6 + 500 + 57 + 9 + 90 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 25682575 + ... + 25685105.

It is an arithmetic number, because the mean of its divisors is an integer number (367219125).

Almost surely, 2^65005799040 is an apocalyptic number.

65005799040 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 65005799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141012144000).

65005799040 is an abundant number, since it is smaller than the sum of its proper divisors (217018488960).

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

65005799040 is a wasteful number, since it uses less digits than its factorization.

65005799040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 65005799040 in words is "sixty-five billion, five million, seven hundred ninety-nine thousand, forty".