65259786240 has 416 divisors, whose sum is σ = 253121558400. Its totient is φ = 15819079680.

The previous prime is 65259786239. The next prime is 65259786247. The reversal of 65259786240 is 4268795256.

65259786240 is a `hidden beast` number, since 6 + 5 + 2 + 5 + 9 + 7 + 8 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65259786247) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6077196 + ... + 6087924.

Almost surely, 2^65259786240 is an apocalyptic number.

65259786240 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 65259786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126560779200).

65259786240 is an abundant number, since it is smaller than the sum of its proper divisors (187861772160).

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

65259786240 is a wasteful number, since it uses less digits than its factorization.

65259786240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10778 (or 10750 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

It can be divided in two parts, 652597 and 86240, that added together give a palindrome (738837).

The spelling of 65259786240 in words is "sixty-five billion, two hundred fifty-nine million, seven hundred eighty-six thousand, two hundred forty".