65873207520 has 288 divisors, whose sum is σ = 244451608128. Its totient is φ = 16085827584.

The previous prime is 65873207501. The next prime is 65873207591. The reversal of 65873207520 is 2570237856.

65873207520 is a `hidden beast` number, since 6 + 58 + 73 + 2 + 0 + 7 + 520 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 869397 + ... + 942123.

It is an arithmetic number, because the mean of its divisors is an integer number (848790306).

Almost surely, 2^65873207520 is an apocalyptic number.

65873207520 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 65873207520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122225804064).

65873207520 is an abundant number, since it is smaller than the sum of its proper divisors (178578400608).

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

65873207520 is a wasteful number, since it uses less digits than its factorization.

65873207520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72802 (or 72791 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 65873207520 in words is "sixty-five billion, eight hundred seventy-three million, two hundred seven thousand, five hundred twenty".